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Finding the Fourth Proportional to 629.94, 944.29 and 424.56

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Solution

The fourth proportional to 629.94, 944.29 and 424.56 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.94 : 944.29 = 424.56 : x
  2. Step 2: Convert to fraction form
    629.94/944.29 = 424.56/x
  3. Step 3: Cross multiply
    629.94x = 944.29 × 424.56
  4. Step 4: Simplify right side
    629.94x = 400,905.64
  5. Step 5: Solve for x
    x = 400,905.64/629.94
  6. Step 6: Final answer
    x = 636.42

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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.