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Finding the Fourth Proportional to 422.36, 579.48 and 401.72

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Solution

The fourth proportional to 422.36, 579.48 and 401.72 is: 551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.36 : 579.48 = 401.72 : x
  2. Step 2: Convert to fraction form
    422.36/579.48 = 401.72/x
  3. Step 3: Cross multiply
    422.36x = 579.48 × 401.72
  4. Step 4: Simplify right side
    422.36x = 232,788.71
  5. Step 5: Solve for x
    x = 232,788.71/422.36
  6. Step 6: Final answer
    x = 551.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.