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Finding the Fourth Proportional to 658.17, 908.26 and 378.40

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Solution

The fourth proportional to 658.17, 908.26 and 378.40 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 908.26 = 378.40 : x
  2. Step 2: Convert to fraction form
    658.17/908.26 = 378.40/x
  3. Step 3: Cross multiply
    658.17x = 908.26 × 378.40
  4. Step 4: Simplify right side
    658.17x = 343,685.58
  5. Step 5: Solve for x
    x = 343,685.58/658.17
  6. Step 6: Final answer
    x = 522.18

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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.