Finding the Fourth Proportional to 943.62, 1,414.35 and 456
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Solution
The fourth proportional to 943.62, 1,414.35 and 456 is: 683.48
Step by Step Solution
- Step 1: Write the proportion equation
943.62 : 1,414.35 = 456 : x - Step 2: Convert to fraction form
943.62/1,414.35 = 456/x - Step 3: Cross multiply
943.62x = 1,414.35 × 456 - Step 4: Simplify right side
943.62x = 644,943.60 - Step 5: Solve for x
x = 644,943.60/943.62 - Step 6: Final answer
x = 683.48
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.