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Finding the Fourth Proportional to 814.38, 1,123.46 and 534.50

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Solution

The fourth proportional to 814.38, 1,123.46 and 534.50 is: 737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.38 : 1,123.46 = 534.50 : x
  2. Step 2: Convert to fraction form
    814.38/1,123.46 = 534.50/x
  3. Step 3: Cross multiply
    814.38x = 1,123.46 × 534.50
  4. Step 4: Simplify right side
    814.38x = 600,489.37
  5. Step 5: Solve for x
    x = 600,489.37/814.38
  6. Step 6: Final answer
    x = 737.36

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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.