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Finding the Fourth Proportional to 439.76, 658.92 and 317.72

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Solution

The fourth proportional to 439.76, 658.92 and 317.72 is: 476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.76 : 658.92 = 317.72 : x
  2. Step 2: Convert to fraction form
    439.76/658.92 = 317.72/x
  3. Step 3: Cross multiply
    439.76x = 658.92 × 317.72
  4. Step 4: Simplify right side
    439.76x = 209,352.06
  5. Step 5: Solve for x
    x = 209,352.06/439.76
  6. Step 6: Final answer
    x = 476.06

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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.