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Finding the Fourth Proportional to 725.64, 1,082.10 and 708.36

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Solution

The fourth proportional to 725.64, 1,082.10 and 708.36 is: 1,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 1,082.10 = 708.36 : x
  2. Step 2: Convert to fraction form
    725.64/1,082.10 = 708.36/x
  3. Step 3: Cross multiply
    725.64x = 1,082.10 × 708.36
  4. Step 4: Simplify right side
    725.64x = 766,516.36
  5. Step 5: Solve for x
    x = 766,516.36/725.64
  6. Step 6: Final answer
    x = 1,056.33

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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.