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Finding the Fourth Proportional to 513.18, 769.71 and 220.59

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Solution

The fourth proportional to 513.18, 769.71 and 220.59 is: 330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 769.71 = 220.59 : x
  2. Step 2: Convert to fraction form
    513.18/769.71 = 220.59/x
  3. Step 3: Cross multiply
    513.18x = 769.71 × 220.59
  4. Step 4: Simplify right side
    513.18x = 169,790.33
  5. Step 5: Solve for x
    x = 169,790.33/513.18
  6. Step 6: Final answer
    x = 330.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.