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Finding the Fourth Proportional to 658.22, 908.51 and 396.41

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Solution

The fourth proportional to 658.22, 908.51 and 396.41 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.22 : 908.51 = 396.41 : x
  2. Step 2: Convert to fraction form
    658.22/908.51 = 396.41/x
  3. Step 3: Cross multiply
    658.22x = 908.51 × 396.41
  4. Step 4: Simplify right side
    658.22x = 360,135.92
  5. Step 5: Solve for x
    x = 360,135.92/658.22
  6. Step 6: Final answer
    x = 547.14

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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.