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Finding the Fourth Proportional to 515.76, 768.14 and 513.20

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Solution

The fourth proportional to 515.76, 768.14 and 513.20 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 768.14 = 513.20 : x
  2. Step 2: Convert to fraction form
    515.76/768.14 = 513.20/x
  3. Step 3: Cross multiply
    515.76x = 768.14 × 513.20
  4. Step 4: Simplify right side
    515.76x = 394,209.45
  5. Step 5: Solve for x
    x = 394,209.45/515.76
  6. Step 6: Final answer
    x = 764.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.