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Finding the Fourth Proportional to 644.57, 967.12 and 233.74

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Solution

The fourth proportional to 644.57, 967.12 and 233.74 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.57 : 967.12 = 233.74 : x
  2. Step 2: Convert to fraction form
    644.57/967.12 = 233.74/x
  3. Step 3: Cross multiply
    644.57x = 967.12 × 233.74
  4. Step 4: Simplify right side
    644.57x = 226,055.25
  5. Step 5: Solve for x
    x = 226,055.25/644.57
  6. Step 6: Final answer
    x = 350.71

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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.