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Finding the Fourth Proportional to 692.44, 1,038.68 and 205.45

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Solution

The fourth proportional to 692.44, 1,038.68 and 205.45 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 1,038.68 = 205.45 : x
  2. Step 2: Convert to fraction form
    692.44/1,038.68 = 205.45/x
  3. Step 3: Cross multiply
    692.44x = 1,038.68 × 205.45
  4. Step 4: Simplify right side
    692.44x = 213,396.81
  5. Step 5: Solve for x
    x = 213,396.81/692.44
  6. Step 6: Final answer
    x = 308.18

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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.