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Finding the Fourth Proportional to 775.37, 1,163.06 and 281.78

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Solution

The fourth proportional to 775.37, 1,163.06 and 281.78 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.37 : 1,163.06 = 281.78 : x
  2. Step 2: Convert to fraction form
    775.37/1,163.06 = 281.78/x
  3. Step 3: Cross multiply
    775.37x = 1,163.06 × 281.78
  4. Step 4: Simplify right side
    775.37x = 327,724.18
  5. Step 5: Solve for x
    x = 327,724.18/775.37
  6. Step 6: Final answer
    x = 422.67

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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.