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Finding the Fourth Proportional to 494.64, 682.02 and 363.60

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Solution

The fourth proportional to 494.64, 682.02 and 363.60 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 682.02 = 363.60 : x
  2. Step 2: Convert to fraction form
    494.64/682.02 = 363.60/x
  3. Step 3: Cross multiply
    494.64x = 682.02 × 363.60
  4. Step 4: Simplify right side
    494.64x = 247,982.47
  5. Step 5: Solve for x
    x = 247,982.47/494.64
  6. Step 6: Final answer
    x = 501.34

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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.