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Finding the Fourth Proportional to 781.92, 1,167.90 and 707.68

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Solution

The fourth proportional to 781.92, 1,167.90 and 707.68 is: 1,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.92 : 1,167.90 = 707.68 : x
  2. Step 2: Convert to fraction form
    781.92/1,167.90 = 707.68/x
  3. Step 3: Cross multiply
    781.92x = 1,167.90 × 707.68
  4. Step 4: Simplify right side
    781.92x = 826,498.28
  5. Step 5: Solve for x
    x = 826,498.28/781.92
  6. Step 6: Final answer
    x = 1,057.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.