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Finding the Fourth Proportional to 814.37, 1,123.61 and 519.93

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Solution

The fourth proportional to 814.37, 1,123.61 and 519.93 is: 717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,123.61 = 519.93 : x
  2. Step 2: Convert to fraction form
    814.37/1,123.61 = 519.93/x
  3. Step 3: Cross multiply
    814.37x = 1,123.61 × 519.93
  4. Step 4: Simplify right side
    814.37x = 584,195.95
  5. Step 5: Solve for x
    x = 584,195.95/814.37
  6. Step 6: Final answer
    x = 717.36

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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.