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Finding the Fourth Proportional to 696.57, 961.47 and 401.94

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Solution

The fourth proportional to 696.57, 961.47 and 401.94 is: 554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 961.47 = 401.94 : x
  2. Step 2: Convert to fraction form
    696.57/961.47 = 401.94/x
  3. Step 3: Cross multiply
    696.57x = 961.47 × 401.94
  4. Step 4: Simplify right side
    696.57x = 386,453.25
  5. Step 5: Solve for x
    x = 386,453.25/696.57
  6. Step 6: Final answer
    x = 554.79

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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.