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Finding the Fourth Proportional to 1,104.28, 1,655.88 and 487.72

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Solution

The fourth proportional to 1,104.28, 1,655.88 and 487.72 is: 731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.28 : 1,655.88 = 487.72 : x
  2. Step 2: Convert to fraction form
    1,104.28/1,655.88 = 487.72/x
  3. Step 3: Cross multiply
    1,104.28x = 1,655.88 × 487.72
  4. Step 4: Simplify right side
    1,104.28x = 807,605.79
  5. Step 5: Solve for x
    x = 807,605.79/1,104.28
  6. Step 6: Final answer
    x = 731.34

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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.