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Finding the Fourth Proportional to 775.40, 1,163.07 and 659.57

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Solution

The fourth proportional to 775.40, 1,163.07 and 659.57 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.40 : 1,163.07 = 659.57 : x
  2. Step 2: Convert to fraction form
    775.40/1,163.07 = 659.57/x
  3. Step 3: Cross multiply
    775.40x = 1,163.07 × 659.57
  4. Step 4: Simplify right side
    775.40x = 767,120.26
  5. Step 5: Solve for x
    x = 767,120.26/775.40
  6. Step 6: Final answer
    x = 989.33

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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.