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Finding the Fourth Proportional to 493.48, 680.72 and 318.83

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Solution

The fourth proportional to 493.48, 680.72 and 318.83 is: 439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 680.72 = 318.83 : x
  2. Step 2: Convert to fraction form
    493.48/680.72 = 318.83/x
  3. Step 3: Cross multiply
    493.48x = 680.72 × 318.83
  4. Step 4: Simplify right side
    493.48x = 217,028.96
  5. Step 5: Solve for x
    x = 217,028.96/493.48
  6. Step 6: Final answer
    x = 439.79

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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.