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Finding the Fourth Proportional to 611.97, 843.93 and 402.29

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Solution

The fourth proportional to 611.97, 843.93 and 402.29 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.97 : 843.93 = 402.29 : x
  2. Step 2: Convert to fraction form
    611.97/843.93 = 402.29/x
  3. Step 3: Cross multiply
    611.97x = 843.93 × 402.29
  4. Step 4: Simplify right side
    611.97x = 339,500.38
  5. Step 5: Solve for x
    x = 339,500.38/611.97
  6. Step 6: Final answer
    x = 554.77

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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.