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Finding the Fourth Proportional to 1,792.55, 2,689.26 and 751.97

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Solution

The fourth proportional to 1,792.55, 2,689.26 and 751.97 is: 1,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.55 : 2,689.26 = 751.97 : x
  2. Step 2: Convert to fraction form
    1,792.55/2,689.26 = 751.97/x
  3. Step 3: Cross multiply
    1,792.55x = 2,689.26 × 751.97
  4. Step 4: Simplify right side
    1,792.55x = 2,022,246.75
  5. Step 5: Solve for x
    x = 2,022,246.75/1,792.55
  6. Step 6: Final answer
    x = 1,128.14

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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.