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Finding the Fourth Proportional to 452.22, 622.71 and 419.55

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Solution

The fourth proportional to 452.22, 622.71 and 419.55 is: 577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.22 : 622.71 = 419.55 : x
  2. Step 2: Convert to fraction form
    452.22/622.71 = 419.55/x
  3. Step 3: Cross multiply
    452.22x = 622.71 × 419.55
  4. Step 4: Simplify right side
    452.22x = 261,257.98
  5. Step 5: Solve for x
    x = 261,257.98/452.22
  6. Step 6: Final answer
    x = 577.72

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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.