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Finding the Fourth Proportional to 433.80, 649.47 and 311.69

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Solution

The fourth proportional to 433.80, 649.47 and 311.69 is: 466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 649.47 = 311.69 : x
  2. Step 2: Convert to fraction form
    433.80/649.47 = 311.69/x
  3. Step 3: Cross multiply
    433.80x = 649.47 × 311.69
  4. Step 4: Simplify right side
    433.80x = 202,433.30
  5. Step 5: Solve for x
    x = 202,433.30/433.80
  6. Step 6: Final answer
    x = 466.65

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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.