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Finding the Fourth Proportional to 523.09, 721.84 and 290.23

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Solution

The fourth proportional to 523.09, 721.84 and 290.23 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 721.84 = 290.23 : x
  2. Step 2: Convert to fraction form
    523.09/721.84 = 290.23/x
  3. Step 3: Cross multiply
    523.09x = 721.84 × 290.23
  4. Step 4: Simplify right side
    523.09x = 209,494.56
  5. Step 5: Solve for x
    x = 209,494.56/523.09
  6. Step 6: Final answer
    x = 400.50

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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.