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Finding the Fourth Proportional to 452.34, 622.91 and 327.80

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Solution

The fourth proportional to 452.34, 622.91 and 327.80 is: 451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.34 : 622.91 = 327.80 : x
  2. Step 2: Convert to fraction form
    452.34/622.91 = 327.80/x
  3. Step 3: Cross multiply
    452.34x = 622.91 × 327.80
  4. Step 4: Simplify right side
    452.34x = 204,185.14
  5. Step 5: Solve for x
    x = 204,185.14/452.34
  6. Step 6: Final answer
    x = 451.40

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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.