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Finding the Fourth Proportional to 408.73, 610.12 and 378.69

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Solution

The fourth proportional to 408.73, 610.12 and 378.69 is: 565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.73 : 610.12 = 378.69 : x
  2. Step 2: Convert to fraction form
    408.73/610.12 = 378.69/x
  3. Step 3: Cross multiply
    408.73x = 610.12 × 378.69
  4. Step 4: Simplify right side
    408.73x = 231,046.34
  5. Step 5: Solve for x
    x = 231,046.34/408.73
  6. Step 6: Final answer
    x = 565.28

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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.