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Finding the Fourth Proportional to 692.44, 1,038.64 and 205.48

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Solution

The fourth proportional to 692.44, 1,038.64 and 205.48 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 1,038.64 = 205.48 : x
  2. Step 2: Convert to fraction form
    692.44/1,038.64 = 205.48/x
  3. Step 3: Cross multiply
    692.44x = 1,038.64 × 205.48
  4. Step 4: Simplify right side
    692.44x = 213,419.75
  5. Step 5: Solve for x
    x = 213,419.75/692.44
  6. Step 6: Final answer
    x = 308.21

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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.