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Finding the Fourth Proportional to 476.12, 713.66 and 311.38

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Solution

The fourth proportional to 476.12, 713.66 and 311.38 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 713.66 = 311.38 : x
  2. Step 2: Convert to fraction form
    476.12/713.66 = 311.38/x
  3. Step 3: Cross multiply
    476.12x = 713.66 × 311.38
  4. Step 4: Simplify right side
    476.12x = 222,219.45
  5. Step 5: Solve for x
    x = 222,219.45/476.12
  6. Step 6: Final answer
    x = 466.73

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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.