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Finding the Fourth Proportional to 775.77, 1,163.83 and 556.48

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Solution

The fourth proportional to 775.77, 1,163.83 and 556.48 is: 834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.77 : 1,163.83 = 556.48 : x
  2. Step 2: Convert to fraction form
    775.77/1,163.83 = 556.48/x
  3. Step 3: Cross multiply
    775.77x = 1,163.83 × 556.48
  4. Step 4: Simplify right side
    775.77x = 647,648.12
  5. Step 5: Solve for x
    x = 647,648.12/775.77
  6. Step 6: Final answer
    x = 834.85

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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.