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Finding the Fourth Proportional to 692.75, 1,039.33 and 367.88

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Solution

The fourth proportional to 692.75, 1,039.33 and 367.88 is: 551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,039.33 = 367.88 : x
  2. Step 2: Convert to fraction form
    692.75/1,039.33 = 367.88/x
  3. Step 3: Cross multiply
    692.75x = 1,039.33 × 367.88
  4. Step 4: Simplify right side
    692.75x = 382,343.98
  5. Step 5: Solve for x
    x = 382,343.98/692.75
  6. Step 6: Final answer
    x = 551.92

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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.