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Finding the Fourth Proportional to 523.99, 723.33 and 327.46

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Solution

The fourth proportional to 523.99, 723.33 and 327.46 is: 452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 723.33 = 327.46 : x
  2. Step 2: Convert to fraction form
    523.99/723.33 = 327.46/x
  3. Step 3: Cross multiply
    523.99x = 723.33 × 327.46
  4. Step 4: Simplify right side
    523.99x = 236,861.64
  5. Step 5: Solve for x
    x = 236,861.64/523.99
  6. Step 6: Final answer
    x = 452.03

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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.