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Finding the Fourth Proportional to 523.68, 723.04 and 327.28

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Solution

The fourth proportional to 523.68, 723.04 and 327.28 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 723.04 = 327.28 : x
  2. Step 2: Convert to fraction form
    523.68/723.04 = 327.28/x
  3. Step 3: Cross multiply
    523.68x = 723.04 × 327.28
  4. Step 4: Simplify right side
    523.68x = 236,636.53
  5. Step 5: Solve for x
    x = 236,636.53/523.68
  6. Step 6: Final answer
    x = 451.87

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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.