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Finding the Fourth Proportional to 608.82, 839.43 and 490.92

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Solution

The fourth proportional to 608.82, 839.43 and 490.92 is: 676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 839.43 = 490.92 : x
  2. Step 2: Convert to fraction form
    608.82/839.43 = 490.92/x
  3. Step 3: Cross multiply
    608.82x = 839.43 × 490.92
  4. Step 4: Simplify right side
    608.82x = 412,092.98
  5. Step 5: Solve for x
    x = 412,092.98/608.82
  6. Step 6: Final answer
    x = 676.87

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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.