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Finding the Fourth Proportional to 818.82, 1,229.46 and 512.61

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Solution

The fourth proportional to 818.82, 1,229.46 and 512.61 is: 769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.82 : 1,229.46 = 512.61 : x
  2. Step 2: Convert to fraction form
    818.82/1,229.46 = 512.61/x
  3. Step 3: Cross multiply
    818.82x = 1,229.46 × 512.61
  4. Step 4: Simplify right side
    818.82x = 630,233.49
  5. Step 5: Solve for x
    x = 630,233.49/818.82
  6. Step 6: Final answer
    x = 769.69

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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.