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Finding the Fourth Proportional to 716.96, 1,073.85 and 614.45

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Solution

The fourth proportional to 716.96, 1,073.85 and 614.45 is: 920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.96 : 1,073.85 = 614.45 : x
  2. Step 2: Convert to fraction form
    716.96/1,073.85 = 614.45/x
  3. Step 3: Cross multiply
    716.96x = 1,073.85 × 614.45
  4. Step 4: Simplify right side
    716.96x = 659,827.13
  5. Step 5: Solve for x
    x = 659,827.13/716.96
  6. Step 6: Final answer
    x = 920.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.