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Finding the Fourth Proportional to 692.75, 1,039 and 281.78

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Solution

The fourth proportional to 692.75, 1,039 and 281.78 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,039 = 281.78 : x
  2. Step 2: Convert to fraction form
    692.75/1,039 = 281.78/x
  3. Step 3: Cross multiply
    692.75x = 1,039 × 281.78
  4. Step 4: Simplify right side
    692.75x = 292,769.42
  5. Step 5: Solve for x
    x = 292,769.42/692.75
  6. Step 6: Final answer
    x = 422.62

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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.