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Finding the Fourth Proportional to 692.05, 1,037.97 and 229.75

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Solution

The fourth proportional to 692.05, 1,037.97 and 229.75 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.05 : 1,037.97 = 229.75 : x
  2. Step 2: Convert to fraction form
    692.05/1,037.97 = 229.75/x
  3. Step 3: Cross multiply
    692.05x = 1,037.97 × 229.75
  4. Step 4: Simplify right side
    692.05x = 238,473.61
  5. Step 5: Solve for x
    x = 238,473.61/692.05
  6. Step 6: Final answer
    x = 344.59

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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.