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Finding the Fourth Proportional to 635.72, 954 and 224.85

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Solution

The fourth proportional to 635.72, 954 and 224.85 is: 337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.72 : 954 = 224.85 : x
  2. Step 2: Convert to fraction form
    635.72/954 = 224.85/x
  3. Step 3: Cross multiply
    635.72x = 954 × 224.85
  4. Step 4: Simplify right side
    635.72x = 214,506.90
  5. Step 5: Solve for x
    x = 214,506.90/635.72
  6. Step 6: Final answer
    x = 337.43

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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.