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Finding the Fourth Proportional to 513.57, 769.41 and 398.15

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Solution

The fourth proportional to 513.57, 769.41 and 398.15 is: 596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 769.41 = 398.15 : x
  2. Step 2: Convert to fraction form
    513.57/769.41 = 398.15/x
  3. Step 3: Cross multiply
    513.57x = 769.41 × 398.15
  4. Step 4: Simplify right side
    513.57x = 306,336.74
  5. Step 5: Solve for x
    x = 306,336.74/513.57
  6. Step 6: Final answer
    x = 596.48

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1.5x scale

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.