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Finding the Fourth Proportional to 629.44, 941.28 and 512.80

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Solution

The fourth proportional to 629.44, 941.28 and 512.80 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 941.28 = 512.80 : x
  2. Step 2: Convert to fraction form
    629.44/941.28 = 512.80/x
  3. Step 3: Cross multiply
    629.44x = 941.28 × 512.80
  4. Step 4: Simplify right side
    629.44x = 482,688.38
  5. Step 5: Solve for x
    x = 482,688.38/629.44
  6. Step 6: Final answer
    x = 766.85

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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.