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Finding the Fourth Proportional to 725.82, 1,083.12 and 609.18

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Solution

The fourth proportional to 725.82, 1,083.12 and 609.18 is: 909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.82 : 1,083.12 = 609.18 : x
  2. Step 2: Convert to fraction form
    725.82/1,083.12 = 609.18/x
  3. Step 3: Cross multiply
    725.82x = 1,083.12 × 609.18
  4. Step 4: Simplify right side
    725.82x = 659,815.04
  5. Step 5: Solve for x
    x = 659,815.04/725.82
  6. Step 6: Final answer
    x = 909.06

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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.