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Finding the Fourth Proportional to 782.29, 1,079.09 and 516.73

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Solution

The fourth proportional to 782.29, 1,079.09 and 516.73 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.29 : 1,079.09 = 516.73 : x
  2. Step 2: Convert to fraction form
    782.29/1,079.09 = 516.73/x
  3. Step 3: Cross multiply
    782.29x = 1,079.09 × 516.73
  4. Step 4: Simplify right side
    782.29x = 557,595.59
  5. Step 5: Solve for x
    x = 557,595.59/782.29
  6. Step 6: Final answer
    x = 712.78

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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.