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Finding the Fourth Proportional to 637.24, 954.23 and 311.75

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Solution

The fourth proportional to 637.24, 954.23 and 311.75 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 954.23 = 311.75 : x
  2. Step 2: Convert to fraction form
    637.24/954.23 = 311.75/x
  3. Step 3: Cross multiply
    637.24x = 954.23 × 311.75
  4. Step 4: Simplify right side
    637.24x = 297,481.20
  5. Step 5: Solve for x
    x = 297,481.20/637.24
  6. Step 6: Final answer
    x = 466.83

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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.