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Finding the Fourth Proportional to 775.55, 1,163.12 and 281.90

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Solution

The fourth proportional to 775.55, 1,163.12 and 281.90 is: 422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.55 : 1,163.12 = 281.90 : x
  2. Step 2: Convert to fraction form
    775.55/1,163.12 = 281.90/x
  3. Step 3: Cross multiply
    775.55x = 1,163.12 × 281.90
  4. Step 4: Simplify right side
    775.55x = 327,876.30
  5. Step 5: Solve for x
    x = 327,876.30/775.55
  6. Step 6: Final answer
    x = 422.77

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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.