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Finding the Fourth Proportional to 513.44, 708.78 and 327.19

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Solution

The fourth proportional to 513.44, 708.78 and 327.19 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 708.78 = 327.19 : x
  2. Step 2: Convert to fraction form
    513.44/708.78 = 327.19/x
  3. Step 3: Cross multiply
    513.44x = 708.78 × 327.19
  4. Step 4: Simplify right side
    513.44x = 231,905.18
  5. Step 5: Solve for x
    x = 231,905.18/513.44
  6. Step 6: Final answer
    x = 451.67

Related Problems

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Double scale
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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.