Most factors in the economy are variable - money supply, wages, the scarcity of basic resources etc. So if you want to compare between 1950 (or some other date) and today then you'll have to find something that's not variable.
Some people use gold for this. However, the value of gold depends, as with anything, on it's utility to those that value it... and gold was obviously much more valuable when it was used as money - since it is not used as money by most people today, the value of gold is obviously much less than it would otherwise be if it was still used as money, as it was (in part at least) in 1950... so comparing the price of items in terms of gold is also a bit misleading.
Perhaps one way of looking at things is in terms of what you need to sacrifice to obtain them and ultimately your single most scarce resource is your time... so you could price things in terms of the time you have to spend to obtain them. If you earn $15 an hour and a hamburger cost 3$ then you have to spend approximately 12 minutes of your time working in order to obtain a hamburger.
However, there again, the calculation is somewhat misleading. If the job you do to get $15 and hour is digging coal or if it's giving German lessons then you might not consider those two "sacrifices" to be equal (even though you spend the same amount of time on each). So even calculating the price of items in time is not going to give you precise results.
Or perhaps you're trying to work out how much the dollar has depreciated in value? In that case, simply measure the quantity of dollars in existence (i.e. total money supply). Be careful with this one though - the "value" of a dollar is precisely in what it can buy you. So if you wanted to buy, for example, petrol and the quantity of dollars stays stable but the price of petrol went up for some reason, then your buying power would have beed reduced. However, at the same time the quantity of rice on the market might have gone up and so the price of rice gone down - meaning your purchasing power with respect to rice would have increased. If you were concerned with both of those products (and only those two products) then perhaps your purchasing power as an aggregate would have stayed the same...
It all depends what you want to spend your dollars on really... but personally I think dollars are a wild goose chase - they hide the really important stuff. More important to you and I are the cost (in terms of labour and other sacrifices) of the real goods we need like food and housing, or the stuff we want (like DVD players) but don't need... but which never the less substantially affect our standard of living.
Changing the quantity of dollars in supply will likely impact our ability to obtain these real things in as much as it impacts the value of our savings (and thus past labour and sacrifices) and in as much as prices in the market will not be able to react immediately and perfectly/uniformly to money which is added/removed from the system... and generally money supply only ever goes up (inflatino), thus eating away at our savings and dilluting the value of work we've performed in the past. Unless you're one of the beneficiaries of the new money then, the "value" of dollars is ever decreasing - by exactly how much will depend on exactly what it was you wanted to spend the money on... which is very very tricky to calculate indeed.