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Finding the Fourth Proportional to 812, 1,117.02 and 711.97

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Solution

The fourth proportional to 812, 1,117.02 and 711.97 is: 979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,117.02 = 711.97 : x
  2. Step 2: Convert to fraction form
    812/1,117.02 = 711.97/x
  3. Step 3: Cross multiply
    812x = 1,117.02 × 711.97
  4. Step 4: Simplify right side
    812x = 795,284.73
  5. Step 5: Solve for x
    x = 795,284.73/812
  6. Step 6: Final answer
    x = 979.41

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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.