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Finding the Fourth Proportional to 692.87, 961.06 and 667.93

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Solution

The fourth proportional to 692.87, 961.06 and 667.93 is: 926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.87 : 961.06 = 667.93 : x
  2. Step 2: Convert to fraction form
    692.87/961.06 = 667.93/x
  3. Step 3: Cross multiply
    692.87x = 961.06 × 667.93
  4. Step 4: Simplify right side
    692.87x = 641,917.47
  5. Step 5: Solve for x
    x = 641,917.47/692.87
  6. Step 6: Final answer
    x = 926.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.