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Finding the Fourth Proportional to 439.47, 658.26 and 329.67

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Solution

The fourth proportional to 439.47, 658.26 and 329.67 is: 493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.47 : 658.26 = 329.67 : x
  2. Step 2: Convert to fraction form
    439.47/658.26 = 329.67/x
  3. Step 3: Cross multiply
    439.47x = 658.26 × 329.67
  4. Step 4: Simplify right side
    439.47x = 217,008.57
  5. Step 5: Solve for x
    x = 217,008.57/439.47
  6. Step 6: Final answer
    x = 493.80

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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.