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Finding the Fourth Proportional to 1,331.42, 1,997.25 and 453.63

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Solution

The fourth proportional to 1,331.42, 1,997.25 and 453.63 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.42 : 1,997.25 = 453.63 : x
  2. Step 2: Convert to fraction form
    1,331.42/1,997.25 = 453.63/x
  3. Step 3: Cross multiply
    1,331.42x = 1,997.25 × 453.63
  4. Step 4: Simplify right side
    1,331.42x = 906,003.10
  5. Step 5: Solve for x
    x = 906,003.10/1,331.42
  6. Step 6: Final answer
    x = 680.48

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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.