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Finding the Fourth Proportional to 847.09, 1,269.55 and 731.53

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Solution

The fourth proportional to 847.09, 1,269.55 and 731.53 is: 1,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.09 : 1,269.55 = 731.53 : x
  2. Step 2: Convert to fraction form
    847.09/1,269.55 = 731.53/x
  3. Step 3: Cross multiply
    847.09x = 1,269.55 × 731.53
  4. Step 4: Simplify right side
    847.09x = 928,713.91
  5. Step 5: Solve for x
    x = 928,713.91/847.09
  6. Step 6: Final answer
    x = 1,096.36

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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.