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Finding the Fourth Proportional to 490.28, 733.82 and 316.51

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Solution

The fourth proportional to 490.28, 733.82 and 316.51 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 733.82 = 316.51 : x
  2. Step 2: Convert to fraction form
    490.28/733.82 = 316.51/x
  3. Step 3: Cross multiply
    490.28x = 733.82 × 316.51
  4. Step 4: Simplify right side
    490.28x = 232,257.95
  5. Step 5: Solve for x
    x = 232,257.95/490.28
  6. Step 6: Final answer
    x = 473.72

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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.