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Finding the Fourth Proportional to 872.43, 1,204.65 and 675.60

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Solution

The fourth proportional to 872.43, 1,204.65 and 675.60 is: 932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.43 : 1,204.65 = 675.60 : x
  2. Step 2: Convert to fraction form
    872.43/1,204.65 = 675.60/x
  3. Step 3: Cross multiply
    872.43x = 1,204.65 × 675.60
  4. Step 4: Simplify right side
    872.43x = 813,861.54
  5. Step 5: Solve for x
    x = 813,861.54/872.43
  6. Step 6: Final answer
    x = 932.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.