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Finding the Fourth Proportional to 692.57, 955.69 and 397.81

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Solution

The fourth proportional to 692.57, 955.69 and 397.81 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 955.69 = 397.81 : x
  2. Step 2: Convert to fraction form
    692.57/955.69 = 397.81/x
  3. Step 3: Cross multiply
    692.57x = 955.69 × 397.81
  4. Step 4: Simplify right side
    692.57x = 380,181.05
  5. Step 5: Solve for x
    x = 380,181.05/692.57
  6. Step 6: Final answer
    x = 548.94

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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.