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Finding the Fourth Proportional to 1,169.85, 1,755.49 and 545.03

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Solution

The fourth proportional to 1,169.85, 1,755.49 and 545.03 is: 817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.85 : 1,755.49 = 545.03 : x
  2. Step 2: Convert to fraction form
    1,169.85/1,755.49 = 545.03/x
  3. Step 3: Cross multiply
    1,169.85x = 1,755.49 × 545.03
  4. Step 4: Simplify right side
    1,169.85x = 956,797.12
  5. Step 5: Solve for x
    x = 956,797.12/1,169.85
  6. Step 6: Final answer
    x = 817.88

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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.