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Finding the Fourth Proportional to 818.01, 1,223.97 and 489.11

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Solution

The fourth proportional to 818.01, 1,223.97 and 489.11 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.01 : 1,223.97 = 489.11 : x
  2. Step 2: Convert to fraction form
    818.01/1,223.97 = 489.11/x
  3. Step 3: Cross multiply
    818.01x = 1,223.97 × 489.11
  4. Step 4: Simplify right side
    818.01x = 598,659.03
  5. Step 5: Solve for x
    x = 598,659.03/818.01
  6. Step 6: Final answer
    x = 731.85

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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.