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Finding the Fourth Proportional to 818.78, 1,228.19 and 682.79

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Solution

The fourth proportional to 818.78, 1,228.19 and 682.79 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.78 : 1,228.19 = 682.79 : x
  2. Step 2: Convert to fraction form
    818.78/1,228.19 = 682.79/x
  3. Step 3: Cross multiply
    818.78x = 1,228.19 × 682.79
  4. Step 4: Simplify right side
    818.78x = 838,586.30
  5. Step 5: Solve for x
    x = 838,586.30/818.78
  6. Step 6: Final answer
    x = 1,024.20

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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.