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Finding the Fourth Proportional to 812.38, 1,217.52 and 707.83

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Solution

The fourth proportional to 812.38, 1,217.52 and 707.83 is: 1,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.38 : 1,217.52 = 707.83 : x
  2. Step 2: Convert to fraction form
    812.38/1,217.52 = 707.83/x
  3. Step 3: Cross multiply
    812.38x = 1,217.52 × 707.83
  4. Step 4: Simplify right side
    812.38x = 861,797.18
  5. Step 5: Solve for x
    x = 861,797.18/812.38
  6. Step 6: Final answer
    x = 1,060.83

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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.