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Finding the Fourth Proportional to 729.22, 997.42 and 717.88

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Solution

The fourth proportional to 729.22, 997.42 and 717.88 is: 981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.22 : 997.42 = 717.88 : x
  2. Step 2: Convert to fraction form
    729.22/997.42 = 717.88/x
  3. Step 3: Cross multiply
    729.22x = 997.42 × 717.88
  4. Step 4: Simplify right side
    729.22x = 716,027.87
  5. Step 5: Solve for x
    x = 716,027.87/729.22
  6. Step 6: Final answer
    x = 981.91

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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.