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Finding the Fourth Proportional to 629.50, 944.52 and 304.69

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Solution

The fourth proportional to 629.50, 944.52 and 304.69 is: 457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 944.52 = 304.69 : x
  2. Step 2: Convert to fraction form
    629.50/944.52 = 304.69/x
  3. Step 3: Cross multiply
    629.50x = 944.52 × 304.69
  4. Step 4: Simplify right side
    629.50x = 287,785.80
  5. Step 5: Solve for x
    x = 287,785.80/629.50
  6. Step 6: Final answer
    x = 457.17

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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.