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Finding the Fourth Proportional to 439.26, 658.91 and 412.53

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Solution

The fourth proportional to 439.26, 658.91 and 412.53 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.26 : 658.91 = 412.53 : x
  2. Step 2: Convert to fraction form
    439.26/658.91 = 412.53/x
  3. Step 3: Cross multiply
    439.26x = 658.91 × 412.53
  4. Step 4: Simplify right side
    439.26x = 271,818.08
  5. Step 5: Solve for x
    x = 271,818.08/439.26
  6. Step 6: Final answer
    x = 618.81

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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.