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Finding the Fourth Proportional to 692.84, 956.12 and 378.11

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Solution

The fourth proportional to 692.84, 956.12 and 378.11 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 956.12 = 378.11 : x
  2. Step 2: Convert to fraction form
    692.84/956.12 = 378.11/x
  3. Step 3: Cross multiply
    692.84x = 956.12 × 378.11
  4. Step 4: Simplify right side
    692.84x = 361,519.03
  5. Step 5: Solve for x
    x = 361,519.03/692.84
  6. Step 6: Final answer
    x = 521.79

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1.5x scale

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.