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Finding the Fourth Proportional to 496.60, 683.76 and 422.80

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Solution

The fourth proportional to 496.60, 683.76 and 422.80 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.60 : 683.76 = 422.80 : x
  2. Step 2: Convert to fraction form
    496.60/683.76 = 422.80/x
  3. Step 3: Cross multiply
    496.60x = 683.76 × 422.80
  4. Step 4: Simplify right side
    496.60x = 289,093.73
  5. Step 5: Solve for x
    x = 289,093.73/496.60
  6. Step 6: Final answer
    x = 582.15

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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.