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Finding the Fourth Proportional to 958.86, 1,322.45 and 827.64

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Solution

The fourth proportional to 958.86, 1,322.45 and 827.64 is: 1,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.86 : 1,322.45 = 827.64 : x
  2. Step 2: Convert to fraction form
    958.86/1,322.45 = 827.64/x
  3. Step 3: Cross multiply
    958.86x = 1,322.45 × 827.64
  4. Step 4: Simplify right side
    958.86x = 1,094,517.53
  5. Step 5: Solve for x
    x = 1,094,517.53/958.86
  6. Step 6: Final answer
    x = 1,141.47

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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.