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Finding the Fourth Proportional to 814.47, 1,123.96 and 441.44

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Solution

The fourth proportional to 814.47, 1,123.96 and 441.44 is: 609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.47 : 1,123.96 = 441.44 : x
  2. Step 2: Convert to fraction form
    814.47/1,123.96 = 441.44/x
  3. Step 3: Cross multiply
    814.47x = 1,123.96 × 441.44
  4. Step 4: Simplify right side
    814.47x = 496,162.61
  5. Step 5: Solve for x
    x = 496,162.61/814.47
  6. Step 6: Final answer
    x = 609.18

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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.