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Finding the Fourth Proportional to 759.27, 1,138.84 and 211.42

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Solution

The fourth proportional to 759.27, 1,138.84 and 211.42 is: 317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.27 : 1,138.84 = 211.42 : x
  2. Step 2: Convert to fraction form
    759.27/1,138.84 = 211.42/x
  3. Step 3: Cross multiply
    759.27x = 1,138.84 × 211.42
  4. Step 4: Simplify right side
    759.27x = 240,770.18
  5. Step 5: Solve for x
    x = 240,770.18/759.27
  6. Step 6: Final answer
    x = 317.11

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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.