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Finding the Fourth Proportional to 523.96, 727.57 and 519.64

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Solution

The fourth proportional to 523.96, 727.57 and 519.64 is: 721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 727.57 = 519.64 : x
  2. Step 2: Convert to fraction form
    523.96/727.57 = 519.64/x
  3. Step 3: Cross multiply
    523.96x = 727.57 × 519.64
  4. Step 4: Simplify right side
    523.96x = 378,074.47
  5. Step 5: Solve for x
    x = 378,074.47/523.96
  6. Step 6: Final answer
    x = 721.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.