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Finding the Fourth Proportional to 513.65, 769.38 and 269.67

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Solution

The fourth proportional to 513.65, 769.38 and 269.67 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.65 : 769.38 = 269.67 : x
  2. Step 2: Convert to fraction form
    513.65/769.38 = 269.67/x
  3. Step 3: Cross multiply
    513.65x = 769.38 × 269.67
  4. Step 4: Simplify right side
    513.65x = 207,478.70
  5. Step 5: Solve for x
    x = 207,478.70/513.65
  6. Step 6: Final answer
    x = 403.93

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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.