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Finding the Fourth Proportional to 490.83, 739.77 and 423.17

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Solution

The fourth proportional to 490.83, 739.77 and 423.17 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 739.77 = 423.17 : x
  2. Step 2: Convert to fraction form
    490.83/739.77 = 423.17/x
  3. Step 3: Cross multiply
    490.83x = 739.77 × 423.17
  4. Step 4: Simplify right side
    490.83x = 313,042.66
  5. Step 5: Solve for x
    x = 313,042.66/490.83
  6. Step 6: Final answer
    x = 637.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.