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Finding the Fourth Proportional to 775.74, 1,163.67 and 385.84

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Solution

The fourth proportional to 775.74, 1,163.67 and 385.84 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,163.67 = 385.84 : x
  2. Step 2: Convert to fraction form
    775.74/1,163.67 = 385.84/x
  3. Step 3: Cross multiply
    775.74x = 1,163.67 × 385.84
  4. Step 4: Simplify right side
    775.74x = 448,990.43
  5. Step 5: Solve for x
    x = 448,990.43/775.74
  6. Step 6: Final answer
    x = 578.79

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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.