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Finding the Fourth Proportional to 611.41, 844.13 and 401.96

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Solution

The fourth proportional to 611.41, 844.13 and 401.96 is: 554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.41 : 844.13 = 401.96 : x
  2. Step 2: Convert to fraction form
    611.41/844.13 = 401.96/x
  3. Step 3: Cross multiply
    611.41x = 844.13 × 401.96
  4. Step 4: Simplify right side
    611.41x = 339,302.27
  5. Step 5: Solve for x
    x = 339,302.27/611.41
  6. Step 6: Final answer
    x = 554.96

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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.