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Finding the Fourth Proportional to 518.24, 773.86 and 408.80

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Solution

The fourth proportional to 518.24, 773.86 and 408.80 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 773.86 = 408.80 : x
  2. Step 2: Convert to fraction form
    518.24/773.86 = 408.80/x
  3. Step 3: Cross multiply
    518.24x = 773.86 × 408.80
  4. Step 4: Simplify right side
    518.24x = 316,353.97
  5. Step 5: Solve for x
    x = 316,353.97/518.24
  6. Step 6: Final answer
    x = 610.44

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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.