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Finding the Fourth Proportional to 692.93, 956.23 and 382.43

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Solution

The fourth proportional to 692.93, 956.23 and 382.43 is: 527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 956.23 = 382.43 : x
  2. Step 2: Convert to fraction form
    692.93/956.23 = 382.43/x
  3. Step 3: Cross multiply
    692.93x = 956.23 × 382.43
  4. Step 4: Simplify right side
    692.93x = 365,691.04
  5. Step 5: Solve for x
    x = 365,691.04/692.93
  6. Step 6: Final answer
    x = 527.75

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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.