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Finding the Fourth Proportional to 490.69, 676.83 and 341.07

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Solution

The fourth proportional to 490.69, 676.83 and 341.07 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 676.83 = 341.07 : x
  2. Step 2: Convert to fraction form
    490.69/676.83 = 341.07/x
  3. Step 3: Cross multiply
    490.69x = 676.83 × 341.07
  4. Step 4: Simplify right side
    490.69x = 230,843.02
  5. Step 5: Solve for x
    x = 230,843.02/490.69
  6. Step 6: Final answer
    x = 470.45

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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.