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Finding the Fourth Proportional to 716.60, 1,073.07 and 472.38

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Solution

The fourth proportional to 716.60, 1,073.07 and 472.38 is: 707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.60 : 1,073.07 = 472.38 : x
  2. Step 2: Convert to fraction form
    716.60/1,073.07 = 472.38/x
  3. Step 3: Cross multiply
    716.60x = 1,073.07 × 472.38
  4. Step 4: Simplify right side
    716.60x = 506,896.81
  5. Step 5: Solve for x
    x = 506,896.81/716.60
  6. Step 6: Final answer
    x = 707.37

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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.