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Finding the Fourth Proportional to 512.80, 769.20 and 329.65

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Solution

The fourth proportional to 512.80, 769.20 and 329.65 is: 494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.20 = 329.65 : x
  2. Step 2: Convert to fraction form
    512.80/769.20 = 329.65/x
  3. Step 3: Cross multiply
    512.80x = 769.20 × 329.65
  4. Step 4: Simplify right side
    512.80x = 253,566.78
  5. Step 5: Solve for x
    x = 253,566.78/512.80
  6. Step 6: Final answer
    x = 494.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.