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Finding the Fourth Proportional to 658.18, 908.19 and 378.43

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Solution

The fourth proportional to 658.18, 908.19 and 378.43 is: 522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 908.19 = 378.43 : x
  2. Step 2: Convert to fraction form
    658.18/908.19 = 378.43/x
  3. Step 3: Cross multiply
    658.18x = 908.19 × 378.43
  4. Step 4: Simplify right side
    658.18x = 343,679.91
  5. Step 5: Solve for x
    x = 343,679.91/658.18
  6. Step 6: Final answer
    x = 522.17

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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.