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Finding the Fourth Proportional to 958.82, 1,324.29 and 767.85

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Solution

The fourth proportional to 958.82, 1,324.29 and 767.85 is: 1,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.82 : 1,324.29 = 767.85 : x
  2. Step 2: Convert to fraction form
    958.82/1,324.29 = 767.85/x
  3. Step 3: Cross multiply
    958.82x = 1,324.29 × 767.85
  4. Step 4: Simplify right side
    958.82x = 1,016,856.08
  5. Step 5: Solve for x
    x = 1,016,856.08/958.82
  6. Step 6: Final answer
    x = 1,060.53

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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.