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Finding the Fourth Proportional to 692.45, 955.37 and 426.80

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Solution

The fourth proportional to 692.45, 955.37 and 426.80 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.45 : 955.37 = 426.80 : x
  2. Step 2: Convert to fraction form
    692.45/955.37 = 426.80/x
  3. Step 3: Cross multiply
    692.45x = 955.37 × 426.80
  4. Step 4: Simplify right side
    692.45x = 407,745.01
  5. Step 5: Solve for x
    x = 407,745.01/692.45
  6. Step 6: Final answer
    x = 588.85

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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.