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Finding the Fourth Proportional to 725.22, 1,089 and 664.38

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Solution

The fourth proportional to 725.22, 1,089 and 664.38 is: 997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.22 : 1,089 = 664.38 : x
  2. Step 2: Convert to fraction form
    725.22/1,089 = 664.38/x
  3. Step 3: Cross multiply
    725.22x = 1,089 × 664.38
  4. Step 4: Simplify right side
    725.22x = 723,509.82
  5. Step 5: Solve for x
    x = 723,509.82/725.22
  6. Step 6: Final answer
    x = 997.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.