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Finding the Fourth Proportional to 662.31, 992.86 and 315.43

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Solution

The fourth proportional to 662.31, 992.86 and 315.43 is: 472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 992.86 = 315.43 : x
  2. Step 2: Convert to fraction form
    662.31/992.86 = 315.43/x
  3. Step 3: Cross multiply
    662.31x = 992.86 × 315.43
  4. Step 4: Simplify right side
    662.31x = 313,174.56
  5. Step 5: Solve for x
    x = 313,174.56/662.31
  6. Step 6: Final answer
    x = 472.85

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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.