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Finding the Fourth Proportional to 721.76, 1,077.90 and 714.20

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Solution

The fourth proportional to 721.76, 1,077.90 and 714.20 is: 1,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.76 : 1,077.90 = 714.20 : x
  2. Step 2: Convert to fraction form
    721.76/1,077.90 = 714.20/x
  3. Step 3: Cross multiply
    721.76x = 1,077.90 × 714.20
  4. Step 4: Simplify right side
    721.76x = 769,836.18
  5. Step 5: Solve for x
    x = 769,836.18/721.76
  6. Step 6: Final answer
    x = 1,066.61

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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.