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Finding the Fourth Proportional to 512.02, 769.24 and 329.77

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Solution

The fourth proportional to 512.02, 769.24 and 329.77 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 769.24 = 329.77 : x
  2. Step 2: Convert to fraction form
    512.02/769.24 = 329.77/x
  3. Step 3: Cross multiply
    512.02x = 769.24 × 329.77
  4. Step 4: Simplify right side
    512.02x = 253,672.27
  5. Step 5: Solve for x
    x = 253,672.27/512.02
  6. Step 6: Final answer
    x = 495.43

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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.