Finding the Fourth Proportional to 432.60, 596.88 and 413.70
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Solution
The fourth proportional to 432.60, 596.88 and 413.70 is: 570.80
Step by Step Solution
- Step 1: Write the proportion equation
432.60 : 596.88 = 413.70 : x - Step 2: Convert to fraction form
432.60/596.88 = 413.70/x - Step 3: Cross multiply
432.60x = 596.88 × 413.70 - Step 4: Simplify right side
432.60x = 246,929.26 - Step 5: Solve for x
x = 246,929.26/432.60 - Step 6: Final answer
x = 570.80
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.