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Finding the Fourth Proportional to 658.20, 908.16 and 409.56

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Solution

The fourth proportional to 658.20, 908.16 and 409.56 is: 565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 908.16 = 409.56 : x
  2. Step 2: Convert to fraction form
    658.20/908.16 = 409.56/x
  3. Step 3: Cross multiply
    658.20x = 908.16 × 409.56
  4. Step 4: Simplify right side
    658.20x = 371,946.01
  5. Step 5: Solve for x
    x = 371,946.01/658.20
  6. Step 6: Final answer
    x = 565.10

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1.5x scale

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.