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Finding the Fourth Proportional to 814.97, 1,123.61 and 519.73

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Solution

The fourth proportional to 814.97, 1,123.61 and 519.73 is: 716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.97 : 1,123.61 = 519.73 : x
  2. Step 2: Convert to fraction form
    814.97/1,123.61 = 519.73/x
  3. Step 3: Cross multiply
    814.97x = 1,123.61 × 519.73
  4. Step 4: Simplify right side
    814.97x = 583,968.42
  5. Step 5: Solve for x
    x = 583,968.42/814.97
  6. Step 6: Final answer
    x = 716.55

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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.