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Finding the Fourth Proportional to 775.58, 1,163.39 and 255.61

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Solution

The fourth proportional to 775.58, 1,163.39 and 255.61 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.58 : 1,163.39 = 255.61 : x
  2. Step 2: Convert to fraction form
    775.58/1,163.39 = 255.61/x
  3. Step 3: Cross multiply
    775.58x = 1,163.39 × 255.61
  4. Step 4: Simplify right side
    775.58x = 297,378.29
  5. Step 5: Solve for x
    x = 297,378.29/775.58
  6. Step 6: Final answer
    x = 383.43

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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.