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Finding the Fourth Proportional to 821.73, 1,131.09 and 812.61

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Solution

The fourth proportional to 821.73, 1,131.09 and 812.61 is: 1,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.73 : 1,131.09 = 812.61 : x
  2. Step 2: Convert to fraction form
    821.73/1,131.09 = 812.61/x
  3. Step 3: Cross multiply
    821.73x = 1,131.09 × 812.61
  4. Step 4: Simplify right side
    821.73x = 919,135.04
  5. Step 5: Solve for x
    x = 919,135.04/821.73
  6. Step 6: Final answer
    x = 1,118.54

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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.