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Finding the Fourth Proportional to 692.56, 955.44 and 443.92

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Solution

The fourth proportional to 692.56, 955.44 and 443.92 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 955.44 = 443.92 : x
  2. Step 2: Convert to fraction form
    692.56/955.44 = 443.92/x
  3. Step 3: Cross multiply
    692.56x = 955.44 × 443.92
  4. Step 4: Simplify right side
    692.56x = 424,138.92
  5. Step 5: Solve for x
    x = 424,138.92/692.56
  6. Step 6: Final answer
    x = 612.42

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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.