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Finding the Fourth Proportional to 1,163.12, 1,744.65 and 285.62

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Solution

The fourth proportional to 1,163.12, 1,744.65 and 285.62 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.12 : 1,744.65 = 285.62 : x
  2. Step 2: Convert to fraction form
    1,163.12/1,744.65 = 285.62/x
  3. Step 3: Cross multiply
    1,163.12x = 1,744.65 × 285.62
  4. Step 4: Simplify right side
    1,163.12x = 498,306.93
  5. Step 5: Solve for x
    x = 498,306.93/1,163.12
  6. Step 6: Final answer
    x = 428.42

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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.