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Finding the Fourth Proportional to 692.11, 954.89 and 397.27

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Solution

The fourth proportional to 692.11, 954.89 and 397.27 is: 548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.11 : 954.89 = 397.27 : x
  2. Step 2: Convert to fraction form
    692.11/954.89 = 397.27/x
  3. Step 3: Cross multiply
    692.11x = 954.89 × 397.27
  4. Step 4: Simplify right side
    692.11x = 379,349.85
  5. Step 5: Solve for x
    x = 379,349.85/692.11
  6. Step 6: Final answer
    x = 548.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.