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Finding the Fourth Proportional to 757.90, 1,138.10 and 512.68

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Solution

The fourth proportional to 757.90, 1,138.10 and 512.68 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.90 : 1,138.10 = 512.68 : x
  2. Step 2: Convert to fraction form
    757.90/1,138.10 = 512.68/x
  3. Step 3: Cross multiply
    757.90x = 1,138.10 × 512.68
  4. Step 4: Simplify right side
    757.90x = 583,481.11
  5. Step 5: Solve for x
    x = 583,481.11/757.90
  6. Step 6: Final answer
    x = 769.87

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