Is the volume of an adipocyte proportional to the mass of fat that it stores?
The answer is: yes.
Since fat is stored in a lipid droplet within the adipocyte, it is already in the densest form possible. In other words there is no way to make the stored fat more compact, so that a given mass of stored fat takes up less volume.
Response to comment from Chris:
I think you are perhaps being a little pedantic here. Anyway the graph below conveys my view, together with your refinement. So yes, adipocyte volume changes in proportion to mass of fat stored. (The line on my graph should be at 45 degrees, but I drew it by hand so it may be a little out.) There is no way to escape the increase in volume when fat is stored.
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