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Finding the Fourth Proportional to 629.69, 944.58 and 278.55

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Solution

The fourth proportional to 629.69, 944.58 and 278.55 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.69 : 944.58 = 278.55 : x
  2. Step 2: Convert to fraction form
    629.69/944.58 = 278.55/x
  3. Step 3: Cross multiply
    629.69x = 944.58 × 278.55
  4. Step 4: Simplify right side
    629.69x = 263,113.80
  5. Step 5: Solve for x
    x = 263,113.80/629.69
  6. Step 6: Final answer
    x = 417.85

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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.