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Finding the Fourth Proportional to 1,399.43, 2,098.61 and 411.97

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Solution

The fourth proportional to 1,399.43, 2,098.61 and 411.97 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.43 : 2,098.61 = 411.97 : x
  2. Step 2: Convert to fraction form
    1,399.43/2,098.61 = 411.97/x
  3. Step 3: Cross multiply
    1,399.43x = 2,098.61 × 411.97
  4. Step 4: Simplify right side
    1,399.43x = 864,562.54
  5. Step 5: Solve for x
    x = 864,562.54/1,399.43
  6. Step 6: Final answer
    x = 617.80

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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.