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Finding the Fourth Proportional to 635.72, 877.56 and 449.24

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Solution

The fourth proportional to 635.72, 877.56 and 449.24 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.72 : 877.56 = 449.24 : x
  2. Step 2: Convert to fraction form
    635.72/877.56 = 449.24/x
  3. Step 3: Cross multiply
    635.72x = 877.56 × 449.24
  4. Step 4: Simplify right side
    635.72x = 394,235.05
  5. Step 5: Solve for x
    x = 394,235.05/635.72
  6. Step 6: Final answer
    x = 620.14

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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.