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Finding the Fourth Proportional to 723.49, 1,079.56 and 679.41

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Solution

The fourth proportional to 723.49, 1,079.56 and 679.41 is: 1,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.49 : 1,079.56 = 679.41 : x
  2. Step 2: Convert to fraction form
    723.49/1,079.56 = 679.41/x
  3. Step 3: Cross multiply
    723.49x = 1,079.56 × 679.41
  4. Step 4: Simplify right side
    723.49x = 733,463.86
  5. Step 5: Solve for x
    x = 733,463.86/723.49
  6. Step 6: Final answer
    x = 1,013.79

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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.