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Finding the Fourth Proportional to 439.01, 658.11 and 414.85

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Solution

The fourth proportional to 439.01, 658.11 and 414.85 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.01 : 658.11 = 414.85 : x
  2. Step 2: Convert to fraction form
    439.01/658.11 = 414.85/x
  3. Step 3: Cross multiply
    439.01x = 658.11 × 414.85
  4. Step 4: Simplify right side
    439.01x = 273,016.93
  5. Step 5: Solve for x
    x = 273,016.93/439.01
  6. Step 6: Final answer
    x = 621.89

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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.