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Finding the Fourth Proportional to 696.62, 961.42 and 401.89

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Solution

The fourth proportional to 696.62, 961.42 and 401.89 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 961.42 = 401.89 : x
  2. Step 2: Convert to fraction form
    696.62/961.42 = 401.89/x
  3. Step 3: Cross multiply
    696.62x = 961.42 × 401.89
  4. Step 4: Simplify right side
    696.62x = 386,381.68
  5. Step 5: Solve for x
    x = 386,381.68/696.62
  6. Step 6: Final answer
    x = 554.66

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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.