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Finding the Fourth Proportional to 610.44, 842.42 and 344.83

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Solution

The fourth proportional to 610.44, 842.42 and 344.83 is: 475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 842.42 = 344.83 : x
  2. Step 2: Convert to fraction form
    610.44/842.42 = 344.83/x
  3. Step 3: Cross multiply
    610.44x = 842.42 × 344.83
  4. Step 4: Simplify right side
    610.44x = 290,493.60
  5. Step 5: Solve for x
    x = 290,493.60/610.44
  6. Step 6: Final answer
    x = 475.88

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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.