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Finding the Fourth Proportional to 828.78, 1,243.67 and 308.83

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Solution

The fourth proportional to 828.78, 1,243.67 and 308.83 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,243.67 = 308.83 : x
  2. Step 2: Convert to fraction form
    828.78/1,243.67 = 308.83/x
  3. Step 3: Cross multiply
    828.78x = 1,243.67 × 308.83
  4. Step 4: Simplify right side
    828.78x = 384,077.95
  5. Step 5: Solve for x
    x = 384,077.95/828.78
  6. Step 6: Final answer
    x = 463.43

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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.