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Finding the Fourth Proportional to 692.62, 1,039.38 and 259.78

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Solution

The fourth proportional to 692.62, 1,039.38 and 259.78 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.62 : 1,039.38 = 259.78 : x
  2. Step 2: Convert to fraction form
    692.62/1,039.38 = 259.78/x
  3. Step 3: Cross multiply
    692.62x = 1,039.38 × 259.78
  4. Step 4: Simplify right side
    692.62x = 270,010.14
  5. Step 5: Solve for x
    x = 270,010.14/692.62
  6. Step 6: Final answer
    x = 389.84

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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.