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Finding the Fourth Proportional to 692.43, 1,038.75 and 205.42

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Solution

The fourth proportional to 692.43, 1,038.75 and 205.42 is: 308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.43 : 1,038.75 = 205.42 : x
  2. Step 2: Convert to fraction form
    692.43/1,038.75 = 205.42/x
  3. Step 3: Cross multiply
    692.43x = 1,038.75 × 205.42
  4. Step 4: Simplify right side
    692.43x = 213,380.03
  5. Step 5: Solve for x
    x = 213,380.03/692.43
  6. Step 6: Final answer
    x = 308.16

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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.