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Finding the Fourth Proportional to 854.33, 1,171.28 and 838.76

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Solution

The fourth proportional to 854.33, 1,171.28 and 838.76 is: 1,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.33 : 1,171.28 = 838.76 : x
  2. Step 2: Convert to fraction form
    854.33/1,171.28 = 838.76/x
  3. Step 3: Cross multiply
    854.33x = 1,171.28 × 838.76
  4. Step 4: Simplify right side
    854.33x = 982,416.30
  5. Step 5: Solve for x
    x = 982,416.30/854.33
  6. Step 6: Final answer
    x = 1,149.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.