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Finding the Fourth Proportional to 757.44, 1,136.31 and 295.20

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Solution

The fourth proportional to 757.44, 1,136.31 and 295.20 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.44 : 1,136.31 = 295.20 : x
  2. Step 2: Convert to fraction form
    757.44/1,136.31 = 295.20/x
  3. Step 3: Cross multiply
    757.44x = 1,136.31 × 295.20
  4. Step 4: Simplify right side
    757.44x = 335,438.71
  5. Step 5: Solve for x
    x = 335,438.71/757.44
  6. Step 6: Final answer
    x = 442.86

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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.