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Finding the Fourth Proportional to 448.22, 616.68 and 408.87

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Solution

The fourth proportional to 448.22, 616.68 and 408.87 is: 562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.22 : 616.68 = 408.87 : x
  2. Step 2: Convert to fraction form
    448.22/616.68 = 408.87/x
  3. Step 3: Cross multiply
    448.22x = 616.68 × 408.87
  4. Step 4: Simplify right side
    448.22x = 252,141.95
  5. Step 5: Solve for x
    x = 252,141.95/448.22
  6. Step 6: Final answer
    x = 562.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.