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Finding the Fourth Proportional to 814.80, 1,124.20 and 519.83

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Solution

The fourth proportional to 814.80, 1,124.20 and 519.83 is: 717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,124.20 = 519.83 : x
  2. Step 2: Convert to fraction form
    814.80/1,124.20 = 519.83/x
  3. Step 3: Cross multiply
    814.80x = 1,124.20 × 519.83
  4. Step 4: Simplify right side
    814.80x = 584,385.97
  5. Step 5: Solve for x
    x = 584,385.97/814.80
  6. Step 6: Final answer
    x = 717.21

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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.