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Finding the Fourth Proportional to 515.76, 770.16 and 512.72

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Solution

The fourth proportional to 515.76, 770.16 and 512.72 is: 765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 770.16 = 512.72 : x
  2. Step 2: Convert to fraction form
    515.76/770.16 = 512.72/x
  3. Step 3: Cross multiply
    515.76x = 770.16 × 512.72
  4. Step 4: Simplify right side
    515.76x = 394,876.44
  5. Step 5: Solve for x
    x = 394,876.44/515.76
  6. Step 6: Final answer
    x = 765.62

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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.