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Finding the Fourth Proportional to 1,331.91, 1,997.46 and 407.30

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Solution

The fourth proportional to 1,331.91, 1,997.46 and 407.30 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.91 : 1,997.46 = 407.30 : x
  2. Step 2: Convert to fraction form
    1,331.91/1,997.46 = 407.30/x
  3. Step 3: Cross multiply
    1,331.91x = 1,997.46 × 407.30
  4. Step 4: Simplify right side
    1,331.91x = 813,555.47
  5. Step 5: Solve for x
    x = 813,555.47/1,331.91
  6. Step 6: Final answer
    x = 610.82

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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.