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Finding the Fourth Proportional to 512.92, 769.16 and 269.28

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Solution

The fourth proportional to 512.92, 769.16 and 269.28 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 769.16 = 269.28 : x
  2. Step 2: Convert to fraction form
    512.92/769.16 = 269.28/x
  3. Step 3: Cross multiply
    512.92x = 769.16 × 269.28
  4. Step 4: Simplify right side
    512.92x = 207,119.40
  5. Step 5: Solve for x
    x = 207,119.40/512.92
  6. Step 6: Final answer
    x = 403.80

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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.