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Finding the Fourth Proportional to 814.73, 1,221.17 and 404.15

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Solution

The fourth proportional to 814.73, 1,221.17 and 404.15 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.73 : 1,221.17 = 404.15 : x
  2. Step 2: Convert to fraction form
    814.73/1,221.17 = 404.15/x
  3. Step 3: Cross multiply
    814.73x = 1,221.17 × 404.15
  4. Step 4: Simplify right side
    814.73x = 493,527.73
  5. Step 5: Solve for x
    x = 493,527.73/814.73
  6. Step 6: Final answer
    x = 605.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.