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Finding the Fourth Proportional to 523.60, 723.08 and 327.28

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Solution

The fourth proportional to 523.60, 723.08 and 327.28 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 723.08 = 327.28 : x
  2. Step 2: Convert to fraction form
    523.60/723.08 = 327.28/x
  3. Step 3: Cross multiply
    523.60x = 723.08 × 327.28
  4. Step 4: Simplify right side
    523.60x = 236,649.62
  5. Step 5: Solve for x
    x = 236,649.62/523.60
  6. Step 6: Final answer
    x = 451.97

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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.