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Finding the Fourth Proportional to 408.79, 608.71 and 402.97

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Solution

The fourth proportional to 408.79, 608.71 and 402.97 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.79 : 608.71 = 402.97 : x
  2. Step 2: Convert to fraction form
    408.79/608.71 = 402.97/x
  3. Step 3: Cross multiply
    408.79x = 608.71 × 402.97
  4. Step 4: Simplify right side
    408.79x = 245,291.87
  5. Step 5: Solve for x
    x = 245,291.87/408.79
  6. Step 6: Final answer
    x = 600.04

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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.