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Finding the Fourth Proportional to 513.14, 768.33 and 390.82

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Solution

The fourth proportional to 513.14, 768.33 and 390.82 is: 585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 768.33 = 390.82 : x
  2. Step 2: Convert to fraction form
    513.14/768.33 = 390.82/x
  3. Step 3: Cross multiply
    513.14x = 768.33 × 390.82
  4. Step 4: Simplify right side
    513.14x = 300,278.73
  5. Step 5: Solve for x
    x = 300,278.73/513.14
  6. Step 6: Final answer
    x = 585.18

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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.