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Finding the Fourth Proportional to 812.31, 1,218.49 and 676.31

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Solution

The fourth proportional to 812.31, 1,218.49 and 676.31 is: 1,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.31 : 1,218.49 = 676.31 : x
  2. Step 2: Convert to fraction form
    812.31/1,218.49 = 676.31/x
  3. Step 3: Cross multiply
    812.31x = 1,218.49 × 676.31
  4. Step 4: Simplify right side
    812.31x = 824,079.85
  5. Step 5: Solve for x
    x = 824,079.85/812.31
  6. Step 6: Final answer
    x = 1,014.49

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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.