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Finding the Fourth Proportional to 1,462.55, 2,193.14 and 487.97

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Solution

The fourth proportional to 1,462.55, 2,193.14 and 487.97 is: 731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.55 : 2,193.14 = 487.97 : x
  2. Step 2: Convert to fraction form
    1,462.55/2,193.14 = 487.97/x
  3. Step 3: Cross multiply
    1,462.55x = 2,193.14 × 487.97
  4. Step 4: Simplify right side
    1,462.55x = 1,070,173.12
  5. Step 5: Solve for x
    x = 1,070,173.12/1,462.55
  6. Step 6: Final answer
    x = 731.72

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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.