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Finding the Fourth Proportional to 433.79, 650.91 and 331.73

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Solution

The fourth proportional to 433.79, 650.91 and 331.73 is: 497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.79 : 650.91 = 331.73 : x
  2. Step 2: Convert to fraction form
    433.79/650.91 = 331.73/x
  3. Step 3: Cross multiply
    433.79x = 650.91 × 331.73
  4. Step 4: Simplify right side
    433.79x = 215,923.12
  5. Step 5: Solve for x
    x = 215,923.12/433.79
  6. Step 6: Final answer
    x = 497.77

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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.