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Finding the Fourth Proportional to 681.49, 1,023.60 and 408.13

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Solution

The fourth proportional to 681.49, 1,023.60 and 408.13 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.49 : 1,023.60 = 408.13 : x
  2. Step 2: Convert to fraction form
    681.49/1,023.60 = 408.13/x
  3. Step 3: Cross multiply
    681.49x = 1,023.60 × 408.13
  4. Step 4: Simplify right side
    681.49x = 417,761.87
  5. Step 5: Solve for x
    x = 417,761.87/681.49
  6. Step 6: Final answer
    x = 613.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.