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Finding the Fourth Proportional to 818.28, 1,227.38 and 546.30

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Solution

The fourth proportional to 818.28, 1,227.38 and 546.30 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,227.38 = 546.30 : x
  2. Step 2: Convert to fraction form
    818.28/1,227.38 = 546.30/x
  3. Step 3: Cross multiply
    818.28x = 1,227.38 × 546.30
  4. Step 4: Simplify right side
    818.28x = 670,514.96
  5. Step 5: Solve for x
    x = 670,514.96/818.28
  6. Step 6: Final answer
    x = 819.42

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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.