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Finding the Fourth Proportional to 543.43, 819.18 and 512.11

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Solution

The fourth proportional to 543.43, 819.18 and 512.11 is: 771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.43 : 819.18 = 512.11 : x
  2. Step 2: Convert to fraction form
    543.43/819.18 = 512.11/x
  3. Step 3: Cross multiply
    543.43x = 819.18 × 512.11
  4. Step 4: Simplify right side
    543.43x = 419,511.55
  5. Step 5: Solve for x
    x = 419,511.55/543.43
  6. Step 6: Final answer
    x = 771.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.