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Finding the Fourth Proportional to 812.57, 1,218.85 and 667.98

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Solution

The fourth proportional to 812.57, 1,218.85 and 667.98 is: 1,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.57 : 1,218.85 = 667.98 : x
  2. Step 2: Convert to fraction form
    812.57/1,218.85 = 667.98/x
  3. Step 3: Cross multiply
    812.57x = 1,218.85 × 667.98
  4. Step 4: Simplify right side
    812.57x = 814,165.75
  5. Step 5: Solve for x
    x = 814,165.75/812.57
  6. Step 6: Final answer
    x = 1,001.97

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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.