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Finding the Fourth Proportional to 438.82, 658.22 and 412.09

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Solution

The fourth proportional to 438.82, 658.22 and 412.09 is: 618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 658.22 = 412.09 : x
  2. Step 2: Convert to fraction form
    438.82/658.22 = 412.09/x
  3. Step 3: Cross multiply
    438.82x = 658.22 × 412.09
  4. Step 4: Simplify right side
    438.82x = 271,245.88
  5. Step 5: Solve for x
    x = 271,245.88/438.82
  6. Step 6: Final answer
    x = 618.13

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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.