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Finding the Fourth Proportional to 629.28, 945.24 and 385.92

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Solution

The fourth proportional to 629.28, 945.24 and 385.92 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.28 : 945.24 = 385.92 : x
  2. Step 2: Convert to fraction form
    629.28/945.24 = 385.92/x
  3. Step 3: Cross multiply
    629.28x = 945.24 × 385.92
  4. Step 4: Simplify right side
    629.28x = 364,787.02
  5. Step 5: Solve for x
    x = 364,787.02/629.28
  6. Step 6: Final answer
    x = 579.69

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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.