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Finding the Fourth Proportional to 1,169.12, 1,755.03 and 682.52

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Solution

The fourth proportional to 1,169.12, 1,755.03 and 682.52 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.12 : 1,755.03 = 682.52 : x
  2. Step 2: Convert to fraction form
    1,169.12/1,755.03 = 682.52/x
  3. Step 3: Cross multiply
    1,169.12x = 1,755.03 × 682.52
  4. Step 4: Simplify right side
    1,169.12x = 1,197,834.30
  5. Step 5: Solve for x
    x = 1,197,834.30/1,169.12
  6. Step 6: Final answer
    x = 1,024.56

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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.