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Finding the Fourth Proportional to 692.64, 1,038.96 and 205.74

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Solution

The fourth proportional to 692.64, 1,038.96 and 205.74 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 1,038.96 = 205.74 : x
  2. Step 2: Convert to fraction form
    692.64/1,038.96 = 205.74/x
  3. Step 3: Cross multiply
    692.64x = 1,038.96 × 205.74
  4. Step 4: Simplify right side
    692.64x = 213,755.63
  5. Step 5: Solve for x
    x = 213,755.63/692.64
  6. Step 6: Final answer
    x = 308.61

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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.