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Finding the Fourth Proportional to 727.44, 997.24 and 722

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Solution

The fourth proportional to 727.44, 997.24 and 722 is: 989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.44 : 997.24 = 722 : x
  2. Step 2: Convert to fraction form
    727.44/997.24 = 722/x
  3. Step 3: Cross multiply
    727.44x = 997.24 × 722
  4. Step 4: Simplify right side
    727.44x = 720,007.28
  5. Step 5: Solve for x
    x = 720,007.28/727.44
  6. Step 6: Final answer
    x = 989.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.