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Finding the Fourth Proportional to 523.09, 721.79 and 313.22

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Solution

The fourth proportional to 523.09, 721.79 and 313.22 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 721.79 = 313.22 : x
  2. Step 2: Convert to fraction form
    523.09/721.79 = 313.22/x
  3. Step 3: Cross multiply
    523.09x = 721.79 × 313.22
  4. Step 4: Simplify right side
    523.09x = 226,073.89
  5. Step 5: Solve for x
    x = 226,073.89/523.09
  6. Step 6: Final answer
    x = 432.19

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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.