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Finding the Fourth Proportional to 778.27, 1,163.96 and 692.21

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Solution

The fourth proportional to 778.27, 1,163.96 and 692.21 is: 1,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.27 : 1,163.96 = 692.21 : x
  2. Step 2: Convert to fraction form
    778.27/1,163.96 = 692.21/x
  3. Step 3: Cross multiply
    778.27x = 1,163.96 × 692.21
  4. Step 4: Simplify right side
    778.27x = 805,698.93
  5. Step 5: Solve for x
    x = 805,698.93/778.27
  6. Step 6: Final answer
    x = 1,035.24

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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.