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Finding the Fourth Proportional to 439.36, 605.60 and 422.72

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Solution

The fourth proportional to 439.36, 605.60 and 422.72 is: 582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.36 : 605.60 = 422.72 : x
  2. Step 2: Convert to fraction form
    439.36/605.60 = 422.72/x
  3. Step 3: Cross multiply
    439.36x = 605.60 × 422.72
  4. Step 4: Simplify right side
    439.36x = 255,999.23
  5. Step 5: Solve for x
    x = 255,999.23/439.36
  6. Step 6: Final answer
    x = 582.66

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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.