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Finding the Fourth Proportional to 822.05, 1,133.87 and 759.77

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Solution

The fourth proportional to 822.05, 1,133.87 and 759.77 is: 1,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.05 : 1,133.87 = 759.77 : x
  2. Step 2: Convert to fraction form
    822.05/1,133.87 = 759.77/x
  3. Step 3: Cross multiply
    822.05x = 1,133.87 × 759.77
  4. Step 4: Simplify right side
    822.05x = 861,470.94
  5. Step 5: Solve for x
    x = 861,470.94/822.05
  6. Step 6: Final answer
    x = 1,047.96

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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.