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Finding the Fourth Proportional to 818.38, 1,230.27 and 758.24

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Solution

The fourth proportional to 818.38, 1,230.27 and 758.24 is: 1,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.38 : 1,230.27 = 758.24 : x
  2. Step 2: Convert to fraction form
    818.38/1,230.27 = 758.24/x
  3. Step 3: Cross multiply
    818.38x = 1,230.27 × 758.24
  4. Step 4: Simplify right side
    818.38x = 932,829.98
  5. Step 5: Solve for x
    x = 932,829.98/818.38
  6. Step 6: Final answer
    x = 1,139.86

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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.