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Finding the Fourth Proportional to 721.98, 1,077.25 and 652.86

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Solution

The fourth proportional to 721.98, 1,077.25 and 652.86 is: 974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,077.25 = 652.86 : x
  2. Step 2: Convert to fraction form
    721.98/1,077.25 = 652.86/x
  3. Step 3: Cross multiply
    721.98x = 1,077.25 × 652.86
  4. Step 4: Simplify right side
    721.98x = 703,293.44
  5. Step 5: Solve for x
    x = 703,293.44/721.98
  6. Step 6: Final answer
    x = 974.12

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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.