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Finding the Fourth Proportional to 1,168.43, 1,754.33 and 681.75

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Solution

The fourth proportional to 1,168.43, 1,754.33 and 681.75 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.43 : 1,754.33 = 681.75 : x
  2. Step 2: Convert to fraction form
    1,168.43/1,754.33 = 681.75/x
  3. Step 3: Cross multiply
    1,168.43x = 1,754.33 × 681.75
  4. Step 4: Simplify right side
    1,168.43x = 1,196,011.07
  5. Step 5: Solve for x
    x = 1,196,011.07/1,168.43
  6. Step 6: Final answer
    x = 1,023.61

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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.