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Finding the Fourth Proportional to 758.65, 1,136.78 and 552.27

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Solution

The fourth proportional to 758.65, 1,136.78 and 552.27 is: 827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.65 : 1,136.78 = 552.27 : x
  2. Step 2: Convert to fraction form
    758.65/1,136.78 = 552.27/x
  3. Step 3: Cross multiply
    758.65x = 1,136.78 × 552.27
  4. Step 4: Simplify right side
    758.65x = 627,809.49
  5. Step 5: Solve for x
    x = 627,809.49/758.65
  6. Step 6: Final answer
    x = 827.54

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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.