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Finding the Fourth Proportional to 692.08, 1,038.29 and 205.12

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Solution

The fourth proportional to 692.08, 1,038.29 and 205.12 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 1,038.29 = 205.12 : x
  2. Step 2: Convert to fraction form
    692.08/1,038.29 = 205.12/x
  3. Step 3: Cross multiply
    692.08x = 1,038.29 × 205.12
  4. Step 4: Simplify right side
    692.08x = 212,974.04
  5. Step 5: Solve for x
    x = 212,974.04/692.08
  6. Step 6: Final answer
    x = 307.73

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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.