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Finding the Fourth Proportional to 634.99, 950.64 and 449.23

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Solution

The fourth proportional to 634.99, 950.64 and 449.23 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.99 : 950.64 = 449.23 : x
  2. Step 2: Convert to fraction form
    634.99/950.64 = 449.23/x
  3. Step 3: Cross multiply
    634.99x = 950.64 × 449.23
  4. Step 4: Simplify right side
    634.99x = 427,056.01
  5. Step 5: Solve for x
    x = 427,056.01/634.99
  6. Step 6: Final answer
    x = 672.54

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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.