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Finding the Fourth Proportional to 493.71, 680.84 and 381.49

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Solution

The fourth proportional to 493.71, 680.84 and 381.49 is: 526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 680.84 = 381.49 : x
  2. Step 2: Convert to fraction form
    493.71/680.84 = 381.49/x
  3. Step 3: Cross multiply
    493.71x = 680.84 × 381.49
  4. Step 4: Simplify right side
    493.71x = 259,735.58
  5. Step 5: Solve for x
    x = 259,735.58/493.71
  6. Step 6: Final answer
    x = 526.09

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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.