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Finding the Fourth Proportional to 490.49, 676.91 and 343.07

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Solution

The fourth proportional to 490.49, 676.91 and 343.07 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 676.91 = 343.07 : x
  2. Step 2: Convert to fraction form
    490.49/676.91 = 343.07/x
  3. Step 3: Cross multiply
    490.49x = 676.91 × 343.07
  4. Step 4: Simplify right side
    490.49x = 232,225.60
  5. Step 5: Solve for x
    x = 232,225.60/490.49
  6. Step 6: Final answer
    x = 473.46

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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.