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Finding the Fourth Proportional to 512.26, 763.17 and 494.86

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Solution

The fourth proportional to 512.26, 763.17 and 494.86 is: 737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 763.17 = 494.86 : x
  2. Step 2: Convert to fraction form
    512.26/763.17 = 494.86/x
  3. Step 3: Cross multiply
    512.26x = 763.17 × 494.86
  4. Step 4: Simplify right side
    512.26x = 377,662.31
  5. Step 5: Solve for x
    x = 377,662.31/512.26
  6. Step 6: Final answer
    x = 737.25

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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.