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Finding the Fourth Proportional to 824.31, 1,138.98 and 648.66

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Solution

The fourth proportional to 824.31, 1,138.98 and 648.66 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.31 : 1,138.98 = 648.66 : x
  2. Step 2: Convert to fraction form
    824.31/1,138.98 = 648.66/x
  3. Step 3: Cross multiply
    824.31x = 1,138.98 × 648.66
  4. Step 4: Simplify right side
    824.31x = 738,817.47
  5. Step 5: Solve for x
    x = 738,817.47/824.31
  6. Step 6: Final answer
    x = 896.29

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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.