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Finding the Fourth Proportional to 716.14, 979.49 and 704.80

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Solution

The fourth proportional to 716.14, 979.49 and 704.80 is: 963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 979.49 = 704.80 : x
  2. Step 2: Convert to fraction form
    716.14/979.49 = 704.80/x
  3. Step 3: Cross multiply
    716.14x = 979.49 × 704.80
  4. Step 4: Simplify right side
    716.14x = 690,344.55
  5. Step 5: Solve for x
    x = 690,344.55/716.14
  6. Step 6: Final answer
    x = 963.98

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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.