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Finding the Fourth Proportional to 512.72, 763.90 and 488.24

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Solution

The fourth proportional to 512.72, 763.90 and 488.24 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 763.90 = 488.24 : x
  2. Step 2: Convert to fraction form
    512.72/763.90 = 488.24/x
  3. Step 3: Cross multiply
    512.72x = 763.90 × 488.24
  4. Step 4: Simplify right side
    512.72x = 372,966.54
  5. Step 5: Solve for x
    x = 372,966.54/512.72
  6. Step 6: Final answer
    x = 727.43

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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.