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Finding the Fourth Proportional to 490.14, 733.66 and 325.28

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Solution

The fourth proportional to 490.14, 733.66 and 325.28 is: 486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 733.66 = 325.28 : x
  2. Step 2: Convert to fraction form
    490.14/733.66 = 325.28/x
  3. Step 3: Cross multiply
    490.14x = 733.66 × 325.28
  4. Step 4: Simplify right side
    490.14x = 238,645.95
  5. Step 5: Solve for x
    x = 238,645.95/490.14
  6. Step 6: Final answer
    x = 486.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.