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Finding the Fourth Proportional to 633.99, 949.14 and 448.23

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Solution

The fourth proportional to 633.99, 949.14 and 448.23 is: 671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.99 : 949.14 = 448.23 : x
  2. Step 2: Convert to fraction form
    633.99/949.14 = 448.23/x
  3. Step 3: Cross multiply
    633.99x = 949.14 × 448.23
  4. Step 4: Simplify right side
    633.99x = 425,433.02
  5. Step 5: Solve for x
    x = 425,433.02/633.99
  6. Step 6: Final answer
    x = 671.04

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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.