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Finding the Fourth Proportional to 490.83, 733.59 and 451.92

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Solution

The fourth proportional to 490.83, 733.59 and 451.92 is: 675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 733.59 = 451.92 : x
  2. Step 2: Convert to fraction form
    490.83/733.59 = 451.92/x
  3. Step 3: Cross multiply
    490.83x = 733.59 × 451.92
  4. Step 4: Simplify right side
    490.83x = 331,523.99
  5. Step 5: Solve for x
    x = 331,523.99/490.83
  6. Step 6: Final answer
    x = 675.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.