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Finding the Fourth Proportional to 758.91, 1,138.18 and 721.88

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Solution

The fourth proportional to 758.91, 1,138.18 and 721.88 is: 1,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.91 : 1,138.18 = 721.88 : x
  2. Step 2: Convert to fraction form
    758.91/1,138.18 = 721.88/x
  3. Step 3: Cross multiply
    758.91x = 1,138.18 × 721.88
  4. Step 4: Simplify right side
    758.91x = 821,629.38
  5. Step 5: Solve for x
    x = 821,629.38/758.91
  6. Step 6: Final answer
    x = 1,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.