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Finding the Fourth Proportional to 629.80, 944.88 and 278.44

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Solution

The fourth proportional to 629.80, 944.88 and 278.44 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.80 : 944.88 = 278.44 : x
  2. Step 2: Convert to fraction form
    629.80/944.88 = 278.44/x
  3. Step 3: Cross multiply
    629.80x = 944.88 × 278.44
  4. Step 4: Simplify right side
    629.80x = 263,092.39
  5. Step 5: Solve for x
    x = 263,092.39/629.80
  6. Step 6: Final answer
    x = 417.74

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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.