Final answer:
The provided set of numbers does not have a constant proportional factor as the ratios of consecutive pairs are not the same. The series appears to have varying proportional factors.
Step-by-step explanation:
To determine if there is a constant proportional factor among a set of numbers, one needs to compare the ratio of each consecutive pair. A constant proportional factor implies that for any two consecutive numbers, A and B, in the series, the ratio B/A should be the same. Given the sequence 0.5, 0.8, 1, 1.6, 3, 4.8, compared pairwise (0.8/0.5, 1/0.8, 1.6/1, 3/1.6), yields the results 1.6, 1.25, 1.6, and 1.875, respectively. With these results, it is clear that there is no constant proportional factor across the entire provided series. However, if we look solely at the values of 0.5, 0.8, 1, and 1.6, the proportional factor appears to be 1.6, but it does not maintain consistency throughout the entire set.