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Finding the Fourth Proportional to 422.64, 582.72 and 385.62

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Solution

The fourth proportional to 422.64, 582.72 and 385.62 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 582.72 = 385.62 : x
  2. Step 2: Convert to fraction form
    422.64/582.72 = 385.62/x
  3. Step 3: Cross multiply
    422.64x = 582.72 × 385.62
  4. Step 4: Simplify right side
    422.64x = 224,708.49
  5. Step 5: Solve for x
    x = 224,708.49/422.64
  6. Step 6: Final answer
    x = 531.68

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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.