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Finding the Fourth Proportional to 836.92, 1,255.02 and 512.20

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Solution

The fourth proportional to 836.92, 1,255.02 and 512.20 is: 768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.92 : 1,255.02 = 512.20 : x
  2. Step 2: Convert to fraction form
    836.92/1,255.02 = 512.20/x
  3. Step 3: Cross multiply
    836.92x = 1,255.02 × 512.20
  4. Step 4: Simplify right side
    836.92x = 642,821.24
  5. Step 5: Solve for x
    x = 642,821.24/836.92
  6. Step 6: Final answer
    x = 768.08

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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.