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Finding the Fourth Proportional to 818.80, 1,227.24 and 674.80

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Solution

The fourth proportional to 818.80, 1,227.24 and 674.80 is: 1,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.80 : 1,227.24 = 674.80 : x
  2. Step 2: Convert to fraction form
    818.80/1,227.24 = 674.80/x
  3. Step 3: Cross multiply
    818.80x = 1,227.24 × 674.80
  4. Step 4: Simplify right side
    818.80x = 828,141.55
  5. Step 5: Solve for x
    x = 828,141.55/818.80
  6. Step 6: Final answer
    x = 1,011.41

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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.