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Finding the Fourth Proportional to 853.25, 1,182.22 and 834.79

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Solution

The fourth proportional to 853.25, 1,182.22 and 834.79 is: 1,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,182.22 = 834.79 : x
  2. Step 2: Convert to fraction form
    853.25/1,182.22 = 834.79/x
  3. Step 3: Cross multiply
    853.25x = 1,182.22 × 834.79
  4. Step 4: Simplify right side
    853.25x = 986,905.43
  5. Step 5: Solve for x
    x = 986,905.43/853.25
  6. Step 6: Final answer
    x = 1,156.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.