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Finding the Fourth Proportional to 490.83, 676.47 and 359.61

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Solution

The fourth proportional to 490.83, 676.47 and 359.61 is: 495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 676.47 = 359.61 : x
  2. Step 2: Convert to fraction form
    490.83/676.47 = 359.61/x
  3. Step 3: Cross multiply
    490.83x = 676.47 × 359.61
  4. Step 4: Simplify right side
    490.83x = 243,265.38
  5. Step 5: Solve for x
    x = 243,265.38/490.83
  6. Step 6: Final answer
    x = 495.62

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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.