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Finding the Fourth Proportional to 1,066.97, 1,472.87 and 717.86

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Solution

The fourth proportional to 1,066.97, 1,472.87 and 717.86 is: 990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.97 : 1,472.87 = 717.86 : x
  2. Step 2: Convert to fraction form
    1,066.97/1,472.87 = 717.86/x
  3. Step 3: Cross multiply
    1,066.97x = 1,472.87 × 717.86
  4. Step 4: Simplify right side
    1,066.97x = 1,057,314.46
  5. Step 5: Solve for x
    x = 1,057,314.46/1,066.97
  6. Step 6: Final answer
    x = 990.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.