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Finding the Fourth Proportional to 512.43, 768.49 and 460.79

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Solution

The fourth proportional to 512.43, 768.49 and 460.79 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 768.49 = 460.79 : x
  2. Step 2: Convert to fraction form
    512.43/768.49 = 460.79/x
  3. Step 3: Cross multiply
    512.43x = 768.49 × 460.79
  4. Step 4: Simplify right side
    512.43x = 354,110.39
  5. Step 5: Solve for x
    x = 354,110.39/512.43
  6. Step 6: Final answer
    x = 691.05

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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.