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Finding the Fourth Proportional to 692.37, 955.35 and 397.71

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Solution

The fourth proportional to 692.37, 955.35 and 397.71 is: 548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 955.35 = 397.71 : x
  2. Step 2: Convert to fraction form
    692.37/955.35 = 397.71/x
  3. Step 3: Cross multiply
    692.37x = 955.35 × 397.71
  4. Step 4: Simplify right side
    692.37x = 379,952.25
  5. Step 5: Solve for x
    x = 379,952.25/692.37
  6. Step 6: Final answer
    x = 548.77

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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.