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Finding the Fourth Proportional to 611.05, 843.26 and 359.15

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Solution

The fourth proportional to 611.05, 843.26 and 359.15 is: 495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.05 : 843.26 = 359.15 : x
  2. Step 2: Convert to fraction form
    611.05/843.26 = 359.15/x
  3. Step 3: Cross multiply
    611.05x = 843.26 × 359.15
  4. Step 4: Simplify right side
    611.05x = 302,857.14
  5. Step 5: Solve for x
    x = 302,857.14/611.05
  6. Step 6: Final answer
    x = 495.64

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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.