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Finding the Fourth Proportional to 634.25, 950.38 and 304.83

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Solution

The fourth proportional to 634.25, 950.38 and 304.83 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.25 : 950.38 = 304.83 : x
  2. Step 2: Convert to fraction form
    634.25/950.38 = 304.83/x
  3. Step 3: Cross multiply
    634.25x = 950.38 × 304.83
  4. Step 4: Simplify right side
    634.25x = 289,705.29
  5. Step 5: Solve for x
    x = 289,705.29/634.25
  6. Step 6: Final answer
    x = 456.77

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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.