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Finding the Fourth Proportional to 611.09, 843.71 and 500.79

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Solution

The fourth proportional to 611.09, 843.71 and 500.79 is: 691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.09 : 843.71 = 500.79 : x
  2. Step 2: Convert to fraction form
    611.09/843.71 = 500.79/x
  3. Step 3: Cross multiply
    611.09x = 843.71 × 500.79
  4. Step 4: Simplify right side
    611.09x = 422,519.03
  5. Step 5: Solve for x
    x = 422,519.03/611.09
  6. Step 6: Final answer
    x = 691.42

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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.