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Finding the Fourth Proportional to 818.32, 1,224.13 and 681.55

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Solution

The fourth proportional to 818.32, 1,224.13 and 681.55 is: 1,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.32 : 1,224.13 = 681.55 : x
  2. Step 2: Convert to fraction form
    818.32/1,224.13 = 681.55/x
  3. Step 3: Cross multiply
    818.32x = 1,224.13 × 681.55
  4. Step 4: Simplify right side
    818.32x = 834,305.80
  5. Step 5: Solve for x
    x = 834,305.80/818.32
  6. Step 6: Final answer
    x = 1,019.53

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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.