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Finding the Fourth Proportional to 778.68, 1,161.07 and 692.82

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Solution

The fourth proportional to 778.68, 1,161.07 and 692.82 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,161.07 = 692.82 : x
  2. Step 2: Convert to fraction form
    778.68/1,161.07 = 692.82/x
  3. Step 3: Cross multiply
    778.68x = 1,161.07 × 692.82
  4. Step 4: Simplify right side
    778.68x = 804,410.79
  5. Step 5: Solve for x
    x = 804,410.79/778.68
  6. Step 6: Final answer
    x = 1,033.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.