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Finding the Fourth Proportional to 2,502.27, 3,753.60 and 770.88

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Solution

The fourth proportional to 2,502.27, 3,753.60 and 770.88 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.27 : 3,753.60 = 770.88 : x
  2. Step 2: Convert to fraction form
    2,502.27/3,753.60 = 770.88/x
  3. Step 3: Cross multiply
    2,502.27x = 3,753.60 × 770.88
  4. Step 4: Simplify right side
    2,502.27x = 2,893,575.17
  5. Step 5: Solve for x
    x = 2,893,575.17/2,502.27
  6. Step 6: Final answer
    x = 1,156.38

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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.