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Finding the Fourth Proportional to 611.26, 843.16 and 401.46

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Solution

The fourth proportional to 611.26, 843.16 and 401.46 is: 553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.26 : 843.16 = 401.46 : x
  2. Step 2: Convert to fraction form
    611.26/843.16 = 401.46/x
  3. Step 3: Cross multiply
    611.26x = 843.16 × 401.46
  4. Step 4: Simplify right side
    611.26x = 338,495.01
  5. Step 5: Solve for x
    x = 338,495.01/611.26
  6. Step 6: Final answer
    x = 553.77

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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.