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Finding the Fourth Proportional to 439.53, 658.16 and 426.56

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Solution

The fourth proportional to 439.53, 658.16 and 426.56 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.53 : 658.16 = 426.56 : x
  2. Step 2: Convert to fraction form
    439.53/658.16 = 426.56/x
  3. Step 3: Cross multiply
    439.53x = 658.16 × 426.56
  4. Step 4: Simplify right side
    439.53x = 280,739.31
  5. Step 5: Solve for x
    x = 280,739.31/439.53
  6. Step 6: Final answer
    x = 638.73

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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.