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Finding the Fourth Proportional to 725.05, 1,082.34 and 675.84

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Solution

The fourth proportional to 725.05, 1,082.34 and 675.84 is: 1,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.05 : 1,082.34 = 675.84 : x
  2. Step 2: Convert to fraction form
    725.05/1,082.34 = 675.84/x
  3. Step 3: Cross multiply
    725.05x = 1,082.34 × 675.84
  4. Step 4: Simplify right side
    725.05x = 731,490.82
  5. Step 5: Solve for x
    x = 731,490.82/725.05
  6. Step 6: Final answer
    x = 1,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.