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Finding the Fourth Proportional to 523.82, 727.72 and 519.06

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Solution

The fourth proportional to 523.82, 727.72 and 519.06 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.82 : 727.72 = 519.06 : x
  2. Step 2: Convert to fraction form
    523.82/727.72 = 519.06/x
  3. Step 3: Cross multiply
    523.82x = 727.72 × 519.06
  4. Step 4: Simplify right side
    523.82x = 377,730.34
  5. Step 5: Solve for x
    x = 377,730.34/523.82
  6. Step 6: Final answer
    x = 721.11

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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.