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Finding the Fourth Proportional to 409.76, 618.20 and 398.24

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Solution

The fourth proportional to 409.76, 618.20 and 398.24 is: 600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 618.20 = 398.24 : x
  2. Step 2: Convert to fraction form
    409.76/618.20 = 398.24/x
  3. Step 3: Cross multiply
    409.76x = 618.20 × 398.24
  4. Step 4: Simplify right side
    409.76x = 246,191.97
  5. Step 5: Solve for x
    x = 246,191.97/409.76
  6. Step 6: Final answer
    x = 600.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.