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Finding the Fourth Proportional to 493.85, 680.64 and 362.63

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Solution

The fourth proportional to 493.85, 680.64 and 362.63 is: 499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.85 : 680.64 = 362.63 : x
  2. Step 2: Convert to fraction form
    493.85/680.64 = 362.63/x
  3. Step 3: Cross multiply
    493.85x = 680.64 × 362.63
  4. Step 4: Simplify right side
    493.85x = 246,817.08
  5. Step 5: Solve for x
    x = 246,817.08/493.85
  6. Step 6: Final answer
    x = 499.79

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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.