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Finding the Fourth Proportional to 512.75, 769.22 and 269.21

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Solution

The fourth proportional to 512.75, 769.22 and 269.21 is: 403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 769.22 = 269.21 : x
  2. Step 2: Convert to fraction form
    512.75/769.22 = 269.21/x
  3. Step 3: Cross multiply
    512.75x = 769.22 × 269.21
  4. Step 4: Simplify right side
    512.75x = 207,081.72
  5. Step 5: Solve for x
    x = 207,081.72/512.75
  6. Step 6: Final answer
    x = 403.86

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Why These Related Problems?

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