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Finding the Fourth Proportional to 513.63, 769.40 and 252.86

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Solution

The fourth proportional to 513.63, 769.40 and 252.86 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 769.40 = 252.86 : x
  2. Step 2: Convert to fraction form
    513.63/769.40 = 252.86/x
  3. Step 3: Cross multiply
    513.63x = 769.40 × 252.86
  4. Step 4: Simplify right side
    513.63x = 194,545.37
  5. Step 5: Solve for x
    x = 194,545.37/513.63
  6. Step 6: Final answer
    x = 378.77

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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.