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Finding the Fourth Proportional to 958.80, 1,321.92 and 825.74

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Solution

The fourth proportional to 958.80, 1,321.92 and 825.74 is: 1,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.80 : 1,321.92 = 825.74 : x
  2. Step 2: Convert to fraction form
    958.80/1,321.92 = 825.74/x
  3. Step 3: Cross multiply
    958.80x = 1,321.92 × 825.74
  4. Step 4: Simplify right side
    958.80x = 1,091,555.61
  5. Step 5: Solve for x
    x = 1,091,555.61/958.80
  6. Step 6: Final answer
    x = 1,138.46

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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.