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Finding the Fourth Proportional to 721.72, 1,000.16 and 707.88

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Solution

The fourth proportional to 721.72, 1,000.16 and 707.88 is: 980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.72 : 1,000.16 = 707.88 : x
  2. Step 2: Convert to fraction form
    721.72/1,000.16 = 707.88/x
  3. Step 3: Cross multiply
    721.72x = 1,000.16 × 707.88
  4. Step 4: Simplify right side
    721.72x = 707,997.57
  5. Step 5: Solve for x
    x = 707,997.57/721.72
  6. Step 6: Final answer
    x = 980.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.