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Finding the Fourth Proportional to 757.59, 1,136.34 and 270.62

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Solution

The fourth proportional to 757.59, 1,136.34 and 270.62 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.59 : 1,136.34 = 270.62 : x
  2. Step 2: Convert to fraction form
    757.59/1,136.34 = 270.62/x
  3. Step 3: Cross multiply
    757.59x = 1,136.34 × 270.62
  4. Step 4: Simplify right side
    757.59x = 307,510.65
  5. Step 5: Solve for x
    x = 307,510.65/757.59
  6. Step 6: Final answer
    x = 405.91

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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.