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Finding the Fourth Proportional to 872.68, 1,204.44 and 843.85

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Solution

The fourth proportional to 872.68, 1,204.44 and 843.85 is: 1,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.68 : 1,204.44 = 843.85 : x
  2. Step 2: Convert to fraction form
    872.68/1,204.44 = 843.85/x
  3. Step 3: Cross multiply
    872.68x = 1,204.44 × 843.85
  4. Step 4: Simplify right side
    872.68x = 1,016,366.69
  5. Step 5: Solve for x
    x = 1,016,366.69/872.68
  6. Step 6: Final answer
    x = 1,164.65

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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.