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Finding the Fourth Proportional to 611.62, 843.81 and 401.91

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Solution

The fourth proportional to 611.62, 843.81 and 401.91 is: 554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.62 : 843.81 = 401.91 : x
  2. Step 2: Convert to fraction form
    611.62/843.81 = 401.91/x
  3. Step 3: Cross multiply
    611.62x = 843.81 × 401.91
  4. Step 4: Simplify right side
    611.62x = 339,133.27
  5. Step 5: Solve for x
    x = 339,133.27/611.62
  6. Step 6: Final answer
    x = 554.49

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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.