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Finding the Fourth Proportional to 692.03, 1,037.79 and 229.73

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Solution

The fourth proportional to 692.03, 1,037.79 and 229.73 is: 344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.03 : 1,037.79 = 229.73 : x
  2. Step 2: Convert to fraction form
    692.03/1,037.79 = 229.73/x
  3. Step 3: Cross multiply
    692.03x = 1,037.79 × 229.73
  4. Step 4: Simplify right side
    692.03x = 238,411.50
  5. Step 5: Solve for x
    x = 238,411.50/692.03
  6. Step 6: Final answer
    x = 344.51

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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.