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Finding the Fourth Proportional to 1,162.23, 1,744.02 and 382.80

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Solution

The fourth proportional to 1,162.23, 1,744.02 and 382.80 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,744.02 = 382.80 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,744.02 = 382.80/x
  3. Step 3: Cross multiply
    1,162.23x = 1,744.02 × 382.80
  4. Step 4: Simplify right side
    1,162.23x = 667,610.86
  5. Step 5: Solve for x
    x = 667,610.86/1,162.23
  6. Step 6: Final answer
    x = 574.42

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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.