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Finding the Fourth Proportional to 757.69, 1,136.26 and 411.28

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Solution

The fourth proportional to 757.69, 1,136.26 and 411.28 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,136.26 = 411.28 : x
  2. Step 2: Convert to fraction form
    757.69/1,136.26 = 411.28/x
  3. Step 3: Cross multiply
    757.69x = 1,136.26 × 411.28
  4. Step 4: Simplify right side
    757.69x = 467,321.01
  5. Step 5: Solve for x
    x = 467,321.01/757.69
  6. Step 6: Final answer
    x = 616.77

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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.