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Finding the Fourth Proportional to 692.75, 1,038.95 and 205.69

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Solution

The fourth proportional to 692.75, 1,038.95 and 205.69 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,038.95 = 205.69 : x
  2. Step 2: Convert to fraction form
    692.75/1,038.95 = 205.69/x
  3. Step 3: Cross multiply
    692.75x = 1,038.95 × 205.69
  4. Step 4: Simplify right side
    692.75x = 213,698.77
  5. Step 5: Solve for x
    x = 213,698.77/692.75
  6. Step 6: Final answer
    x = 308.48

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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.