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Finding the Fourth Proportional to 519.82, 720.53 and 512.12

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Solution

The fourth proportional to 519.82, 720.53 and 512.12 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 720.53 = 512.12 : x
  2. Step 2: Convert to fraction form
    519.82/720.53 = 512.12/x
  3. Step 3: Cross multiply
    519.82x = 720.53 × 512.12
  4. Step 4: Simplify right side
    519.82x = 368,997.82
  5. Step 5: Solve for x
    x = 368,997.82/519.82
  6. Step 6: Final answer
    x = 709.86

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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.