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Finding the Fourth Proportional to 634.21, 950.87 and 304.97

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Solution

The fourth proportional to 634.21, 950.87 and 304.97 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.21 : 950.87 = 304.97 : x
  2. Step 2: Convert to fraction form
    634.21/950.87 = 304.97/x
  3. Step 3: Cross multiply
    634.21x = 950.87 × 304.97
  4. Step 4: Simplify right side
    634.21x = 289,982.83
  5. Step 5: Solve for x
    x = 289,982.83/634.21
  6. Step 6: Final answer
    x = 457.24

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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.