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Finding the Fourth Proportional to 775.97, 1,163.24 and 708.33

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Solution

The fourth proportional to 775.97, 1,163.24 and 708.33 is: 1,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,163.24 = 708.33 : x
  2. Step 2: Convert to fraction form
    775.97/1,163.24 = 708.33/x
  3. Step 3: Cross multiply
    775.97x = 1,163.24 × 708.33
  4. Step 4: Simplify right side
    775.97x = 823,965.25
  5. Step 5: Solve for x
    x = 823,965.25/775.97
  6. Step 6: Final answer
    x = 1,061.85

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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.