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Finding the Fourth Proportional to 1,264.25, 1,744.36 and 792.38

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Solution

The fourth proportional to 1,264.25, 1,744.36 and 792.38 is: 1,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.25 : 1,744.36 = 792.38 : x
  2. Step 2: Convert to fraction form
    1,264.25/1,744.36 = 792.38/x
  3. Step 3: Cross multiply
    1,264.25x = 1,744.36 × 792.38
  4. Step 4: Simplify right side
    1,264.25x = 1,382,198.36
  5. Step 5: Solve for x
    x = 1,382,198.36/1,264.25
  6. Step 6: Final answer
    x = 1,093.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.