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Finding the Fourth Proportional to 610.84, 843.06 and 349

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Solution

The fourth proportional to 610.84, 843.06 and 349 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 843.06 = 349 : x
  2. Step 2: Convert to fraction form
    610.84/843.06 = 349/x
  3. Step 3: Cross multiply
    610.84x = 843.06 × 349
  4. Step 4: Simplify right side
    610.84x = 294,227.94
  5. Step 5: Solve for x
    x = 294,227.94/610.84
  6. Step 6: Final answer
    x = 481.68

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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.