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Finding the Fourth Proportional to 451.77, 623.16 and 327.75

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Solution

The fourth proportional to 451.77, 623.16 and 327.75 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.77 : 623.16 = 327.75 : x
  2. Step 2: Convert to fraction form
    451.77/623.16 = 327.75/x
  3. Step 3: Cross multiply
    451.77x = 623.16 × 327.75
  4. Step 4: Simplify right side
    451.77x = 204,240.69
  5. Step 5: Solve for x
    x = 204,240.69/451.77
  6. Step 6: Final answer
    x = 452.09

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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.