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Finding the Fourth Proportional to 716.92, 996.13 and 709.30

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Solution

The fourth proportional to 716.92, 996.13 and 709.30 is: 985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.92 : 996.13 = 709.30 : x
  2. Step 2: Convert to fraction form
    716.92/996.13 = 709.30/x
  3. Step 3: Cross multiply
    716.92x = 996.13 × 709.30
  4. Step 4: Simplify right side
    716.92x = 706,555.01
  5. Step 5: Solve for x
    x = 706,555.01/716.92
  6. Step 6: Final answer
    x = 985.54

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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.