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Finding the Fourth Proportional to 725.16, 1,080.31 and 690.33

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Solution

The fourth proportional to 725.16, 1,080.31 and 690.33 is: 1,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.16 : 1,080.31 = 690.33 : x
  2. Step 2: Convert to fraction form
    725.16/1,080.31 = 690.33/x
  3. Step 3: Cross multiply
    725.16x = 1,080.31 × 690.33
  4. Step 4: Simplify right side
    725.16x = 745,770.40
  5. Step 5: Solve for x
    x = 745,770.40/725.16
  6. Step 6: Final answer
    x = 1,028.42

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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.