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Finding the Fourth Proportional to 757.11, 1,136.49 and 324.57

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Solution

The fourth proportional to 757.11, 1,136.49 and 324.57 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,136.49 = 324.57 : x
  2. Step 2: Convert to fraction form
    757.11/1,136.49 = 324.57/x
  3. Step 3: Cross multiply
    757.11x = 1,136.49 × 324.57
  4. Step 4: Simplify right side
    757.11x = 368,870.56
  5. Step 5: Solve for x
    x = 368,870.56/757.11
  6. Step 6: Final answer
    x = 487.21

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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.