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Finding the Fourth Proportional to 696.70, 961.41 and 381.95

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Solution

The fourth proportional to 696.70, 961.41 and 381.95 is: 527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.70 : 961.41 = 381.95 : x
  2. Step 2: Convert to fraction form
    696.70/961.41 = 381.95/x
  3. Step 3: Cross multiply
    696.70x = 961.41 × 381.95
  4. Step 4: Simplify right side
    696.70x = 367,213.30
  5. Step 5: Solve for x
    x = 367,213.30/696.70
  6. Step 6: Final answer
    x = 527.08

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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.