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Finding the Fourth Proportional to 619.24, 853.60 and 422.41

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Solution

The fourth proportional to 619.24, 853.60 and 422.41 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 853.60 = 422.41 : x
  2. Step 2: Convert to fraction form
    619.24/853.60 = 422.41/x
  3. Step 3: Cross multiply
    619.24x = 853.60 × 422.41
  4. Step 4: Simplify right side
    619.24x = 360,569.18
  5. Step 5: Solve for x
    x = 360,569.18/619.24
  6. Step 6: Final answer
    x = 582.28

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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.