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Finding the Fourth Proportional to 1,195.28, 1,792.92 and 617.75

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Solution

The fourth proportional to 1,195.28, 1,792.92 and 617.75 is: 926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.28 : 1,792.92 = 617.75 : x
  2. Step 2: Convert to fraction form
    1,195.28/1,792.92 = 617.75/x
  3. Step 3: Cross multiply
    1,195.28x = 1,792.92 × 617.75
  4. Step 4: Simplify right side
    1,195.28x = 1,107,576.33
  5. Step 5: Solve for x
    x = 1,107,576.33/1,195.28
  6. Step 6: Final answer
    x = 926.63

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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.