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Finding the Fourth Proportional to 1,331.73, 1,997.51 and 407.21

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Solution

The fourth proportional to 1,331.73, 1,997.51 and 407.21 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.73 : 1,997.51 = 407.21 : x
  2. Step 2: Convert to fraction form
    1,331.73/1,997.51 = 407.21/x
  3. Step 3: Cross multiply
    1,331.73x = 1,997.51 × 407.21
  4. Step 4: Simplify right side
    1,331.73x = 813,397.08
  5. Step 5: Solve for x
    x = 813,397.08/1,331.73
  6. Step 6: Final answer
    x = 610.78

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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.