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Finding the Fourth Proportional to 692.09, 1,037.91 and 281.42

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Solution

The fourth proportional to 692.09, 1,037.91 and 281.42 is: 422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 1,037.91 = 281.42 : x
  2. Step 2: Convert to fraction form
    692.09/1,037.91 = 281.42/x
  3. Step 3: Cross multiply
    692.09x = 1,037.91 × 281.42
  4. Step 4: Simplify right side
    692.09x = 292,088.63
  5. Step 5: Solve for x
    x = 292,088.63/692.09
  6. Step 6: Final answer
    x = 422.04

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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.