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Finding the Fourth Proportional to 512.97, 768.69 and 293.52

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Solution

The fourth proportional to 512.97, 768.69 and 293.52 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.97 : 768.69 = 293.52 : x
  2. Step 2: Convert to fraction form
    512.97/768.69 = 293.52/x
  3. Step 3: Cross multiply
    512.97x = 768.69 × 293.52
  4. Step 4: Simplify right side
    512.97x = 225,628.77
  5. Step 5: Solve for x
    x = 225,628.77/512.97
  6. Step 6: Final answer
    x = 439.85

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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.