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Finding the Fourth Proportional to 451.80, 623.76 and 327.26

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Solution

The fourth proportional to 451.80, 623.76 and 327.26 is: 451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 623.76 = 327.26 : x
  2. Step 2: Convert to fraction form
    451.80/623.76 = 327.26/x
  3. Step 3: Cross multiply
    451.80x = 623.76 × 327.26
  4. Step 4: Simplify right side
    451.80x = 204,131.70
  5. Step 5: Solve for x
    x = 204,131.70/451.80
  6. Step 6: Final answer
    x = 451.82

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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.