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Finding the Fourth Proportional to 781.71, 1,170.54 and 456.90

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Solution

The fourth proportional to 781.71, 1,170.54 and 456.90 is: 684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.71 : 1,170.54 = 456.90 : x
  2. Step 2: Convert to fraction form
    781.71/1,170.54 = 456.90/x
  3. Step 3: Cross multiply
    781.71x = 1,170.54 × 456.90
  4. Step 4: Simplify right side
    781.71x = 534,819.73
  5. Step 5: Solve for x
    x = 534,819.73/781.71
  6. Step 6: Final answer
    x = 684.17

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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.