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Finding the Fourth Proportional to 523.65, 722.61 and 327.09

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Solution

The fourth proportional to 523.65, 722.61 and 327.09 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 722.61 = 327.09 : x
  2. Step 2: Convert to fraction form
    523.65/722.61 = 327.09/x
  3. Step 3: Cross multiply
    523.65x = 722.61 × 327.09
  4. Step 4: Simplify right side
    523.65x = 236,358.50
  5. Step 5: Solve for x
    x = 236,358.50/523.65
  6. Step 6: Final answer
    x = 451.37

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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.