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Finding the Fourth Proportional to 658.20, 909.04 and 438.16

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Solution

The fourth proportional to 658.20, 909.04 and 438.16 is: 605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 909.04 = 438.16 : x
  2. Step 2: Convert to fraction form
    658.20/909.04 = 438.16/x
  3. Step 3: Cross multiply
    658.20x = 909.04 × 438.16
  4. Step 4: Simplify right side
    658.20x = 398,304.97
  5. Step 5: Solve for x
    x = 398,304.97/658.20
  6. Step 6: Final answer
    x = 605.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.