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Finding the Fourth Proportional to 496.55, 743.99 and 311.13

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Solution

The fourth proportional to 496.55, 743.99 and 311.13 is: 466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.55 : 743.99 = 311.13 : x
  2. Step 2: Convert to fraction form
    496.55/743.99 = 311.13/x
  3. Step 3: Cross multiply
    496.55x = 743.99 × 311.13
  4. Step 4: Simplify right side
    496.55x = 231,476.05
  5. Step 5: Solve for x
    x = 231,476.05/496.55
  6. Step 6: Final answer
    x = 466.17

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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.