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Finding the Fourth Proportional to 692.17, 954.33 and 443.08

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Solution

The fourth proportional to 692.17, 954.33 and 443.08 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 954.33 = 443.08 : x
  2. Step 2: Convert to fraction form
    692.17/954.33 = 443.08/x
  3. Step 3: Cross multiply
    692.17x = 954.33 × 443.08
  4. Step 4: Simplify right side
    692.17x = 422,844.54
  5. Step 5: Solve for x
    x = 422,844.54/692.17
  6. Step 6: Final answer
    x = 610.90

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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.