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Finding the Fourth Proportional to 994.56, 1,372.89 and 725.78

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Solution

The fourth proportional to 994.56, 1,372.89 and 725.78 is: 1,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.56 : 1,372.89 = 725.78 : x
  2. Step 2: Convert to fraction form
    994.56/1,372.89 = 725.78/x
  3. Step 3: Cross multiply
    994.56x = 1,372.89 × 725.78
  4. Step 4: Simplify right side
    994.56x = 996,409.24
  5. Step 5: Solve for x
    x = 996,409.24/994.56
  6. Step 6: Final answer
    x = 1,001.86

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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.