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Finding the Fourth Proportional to 513.79, 709.55 and 327.36

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Solution

The fourth proportional to 513.79, 709.55 and 327.36 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 709.55 = 327.36 : x
  2. Step 2: Convert to fraction form
    513.79/709.55 = 327.36/x
  3. Step 3: Cross multiply
    513.79x = 709.55 × 327.36
  4. Step 4: Simplify right side
    513.79x = 232,279.31
  5. Step 5: Solve for x
    x = 232,279.31/513.79
  6. Step 6: Final answer
    x = 452.09

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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.