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Finding the Fourth Proportional to 610.86, 842.94 and 348.82

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Solution

The fourth proportional to 610.86, 842.94 and 348.82 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.86 : 842.94 = 348.82 : x
  2. Step 2: Convert to fraction form
    610.86/842.94 = 348.82/x
  3. Step 3: Cross multiply
    610.86x = 842.94 × 348.82
  4. Step 4: Simplify right side
    610.86x = 294,034.33
  5. Step 5: Solve for x
    x = 294,034.33/610.86
  6. Step 6: Final answer
    x = 481.34

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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.