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Finding the Fourth Proportional to 512.25, 763.31 and 495.69

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Solution

The fourth proportional to 512.25, 763.31 and 495.69 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 763.31 = 495.69 : x
  2. Step 2: Convert to fraction form
    512.25/763.31 = 495.69/x
  3. Step 3: Cross multiply
    512.25x = 763.31 × 495.69
  4. Step 4: Simplify right side
    512.25x = 378,362.66
  5. Step 5: Solve for x
    x = 378,362.66/512.25
  6. Step 6: Final answer
    x = 738.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.