Virgin Islands is about 776 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Virgin Islands is approximately 1,910 sq km, making Virgin Islands 0.13% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (604,818 fewer people live in Virgin Islands).
Tip: This to-scale comparison of Alaska vs. Virgin Islands uses the Mercator projection, which distorts the size of regions near the poles.