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Finding the Fourth Proportional to 513.69, 709.13 and 327.44

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Solution

The fourth proportional to 513.69, 709.13 and 327.44 is: 452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 709.13 = 327.44 : x
  2. Step 2: Convert to fraction form
    513.69/709.13 = 327.44/x
  3. Step 3: Cross multiply
    513.69x = 709.13 × 327.44
  4. Step 4: Simplify right side
    513.69x = 232,195.75
  5. Step 5: Solve for x
    x = 232,195.75/513.69
  6. Step 6: Final answer
    x = 452.01

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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.