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Finding the Fourth Proportional to 439.48, 658.95 and 397.90

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Solution

The fourth proportional to 439.48, 658.95 and 397.90 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 658.95 = 397.90 : x
  2. Step 2: Convert to fraction form
    439.48/658.95 = 397.90/x
  3. Step 3: Cross multiply
    439.48x = 658.95 × 397.90
  4. Step 4: Simplify right side
    439.48x = 262,196.21
  5. Step 5: Solve for x
    x = 262,196.21/439.48
  6. Step 6: Final answer
    x = 596.61

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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.