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Finding the Fourth Proportional to 611.70, 843.86 and 349.56

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Solution

The fourth proportional to 611.70, 843.86 and 349.56 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.70 : 843.86 = 349.56 : x
  2. Step 2: Convert to fraction form
    611.70/843.86 = 349.56/x
  3. Step 3: Cross multiply
    611.70x = 843.86 × 349.56
  4. Step 4: Simplify right side
    611.70x = 294,980.94
  5. Step 5: Solve for x
    x = 294,980.94/611.70
  6. Step 6: Final answer
    x = 482.23

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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.