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Finding the Fourth Proportional to 701.92, 966.45 and 596.80

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Solution

The fourth proportional to 701.92, 966.45 and 596.80 is: 821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.92 : 966.45 = 596.80 : x
  2. Step 2: Convert to fraction form
    701.92/966.45 = 596.80/x
  3. Step 3: Cross multiply
    701.92x = 966.45 × 596.80
  4. Step 4: Simplify right side
    701.92x = 576,777.36
  5. Step 5: Solve for x
    x = 576,777.36/701.92
  6. Step 6: Final answer
    x = 821.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.