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Finding the Fourth Proportional to 828.91, 1,144.17 and 534.97

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Solution

The fourth proportional to 828.91, 1,144.17 and 534.97 is: 738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.91 : 1,144.17 = 534.97 : x
  2. Step 2: Convert to fraction form
    828.91/1,144.17 = 534.97/x
  3. Step 3: Cross multiply
    828.91x = 1,144.17 × 534.97
  4. Step 4: Simplify right side
    828.91x = 612,096.62
  5. Step 5: Solve for x
    x = 612,096.62/828.91
  6. Step 6: Final answer
    x = 738.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.