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Finding the Fourth Proportional to 513.57, 769.13 and 296.49

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Solution

The fourth proportional to 513.57, 769.13 and 296.49 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 769.13 = 296.49 : x
  2. Step 2: Convert to fraction form
    513.57/769.13 = 296.49/x
  3. Step 3: Cross multiply
    513.57x = 769.13 × 296.49
  4. Step 4: Simplify right side
    513.57x = 228,042.02
  5. Step 5: Solve for x
    x = 228,042.02/513.57
  6. Step 6: Final answer
    x = 444.03

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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.