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Finding the Fourth Proportional to 422.60, 585.82 and 396.68

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Solution

The fourth proportional to 422.60, 585.82 and 396.68 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.60 : 585.82 = 396.68 : x
  2. Step 2: Convert to fraction form
    422.60/585.82 = 396.68/x
  3. Step 3: Cross multiply
    422.60x = 585.82 × 396.68
  4. Step 4: Simplify right side
    422.60x = 232,383.08
  5. Step 5: Solve for x
    x = 232,383.08/422.60
  6. Step 6: Final answer
    x = 549.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.