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Finding the Fourth Proportional to 408.62, 610.06 and 353.70

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Solution

The fourth proportional to 408.62, 610.06 and 353.70 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.62 : 610.06 = 353.70 : x
  2. Step 2: Convert to fraction form
    408.62/610.06 = 353.70/x
  3. Step 3: Cross multiply
    408.62x = 610.06 × 353.70
  4. Step 4: Simplify right side
    408.62x = 215,776.45
  5. Step 5: Solve for x
    x = 215,776.45/408.62
  6. Step 6: Final answer
    x = 528.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.