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Finding the Fourth Proportional to 818.52, 1,227.04 and 407.23

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Solution

The fourth proportional to 818.52, 1,227.04 and 407.23 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.52 : 1,227.04 = 407.23 : x
  2. Step 2: Convert to fraction form
    818.52/1,227.04 = 407.23/x
  3. Step 3: Cross multiply
    818.52x = 1,227.04 × 407.23
  4. Step 4: Simplify right side
    818.52x = 499,687.50
  5. Step 5: Solve for x
    x = 499,687.50/818.52
  6. Step 6: Final answer
    x = 610.48

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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.