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Finding the Fourth Proportional to 523.23, 722.20 and 326.63

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Solution

The fourth proportional to 523.23, 722.20 and 326.63 is: 450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 722.20 = 326.63 : x
  2. Step 2: Convert to fraction form
    523.23/722.20 = 326.63/x
  3. Step 3: Cross multiply
    523.23x = 722.20 × 326.63
  4. Step 4: Simplify right side
    523.23x = 235,892.19
  5. Step 5: Solve for x
    x = 235,892.19/523.23
  6. Step 6: Final answer
    x = 450.84

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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.