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Finding the Fourth Proportional to 757.82, 1,136.86 and 270.75

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Solution

The fourth proportional to 757.82, 1,136.86 and 270.75 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.82 : 1,136.86 = 270.75 : x
  2. Step 2: Convert to fraction form
    757.82/1,136.86 = 270.75/x
  3. Step 3: Cross multiply
    757.82x = 1,136.86 × 270.75
  4. Step 4: Simplify right side
    757.82x = 307,804.85
  5. Step 5: Solve for x
    x = 307,804.85/757.82
  6. Step 6: Final answer
    x = 406.17

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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.