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Finding the Fourth Proportional to 658.04, 908.13 and 378.20

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Solution

The fourth proportional to 658.04, 908.13 and 378.20 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 908.13 = 378.20 : x
  2. Step 2: Convert to fraction form
    658.04/908.13 = 378.20/x
  3. Step 3: Cross multiply
    658.04x = 908.13 × 378.20
  4. Step 4: Simplify right side
    658.04x = 343,454.77
  5. Step 5: Solve for x
    x = 343,454.77/658.04
  6. Step 6: Final answer
    x = 521.94

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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.