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Finding the Fourth Proportional to 523.11, 721.74 and 412.23

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Solution

The fourth proportional to 523.11, 721.74 and 412.23 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 721.74 = 412.23 : x
  2. Step 2: Convert to fraction form
    523.11/721.74 = 412.23/x
  3. Step 3: Cross multiply
    523.11x = 721.74 × 412.23
  4. Step 4: Simplify right side
    523.11x = 297,522.88
  5. Step 5: Solve for x
    x = 297,522.88/523.11
  6. Step 6: Final answer
    x = 568.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.