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Finding the Fourth Proportional to 958.32, 1,322 and 781.52

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Solution

The fourth proportional to 958.32, 1,322 and 781.52 is: 1,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.32 : 1,322 = 781.52 : x
  2. Step 2: Convert to fraction form
    958.32/1,322 = 781.52/x
  3. Step 3: Cross multiply
    958.32x = 1,322 × 781.52
  4. Step 4: Simplify right side
    958.32x = 1,033,169.44
  5. Step 5: Solve for x
    x = 1,033,169.44/958.32
  6. Step 6: Final answer
    x = 1,078.10

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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.