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Finding the Fourth Proportional to 651.43, 976.92 and 212.57

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Solution

The fourth proportional to 651.43, 976.92 and 212.57 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.43 : 976.92 = 212.57 : x
  2. Step 2: Convert to fraction form
    651.43/976.92 = 212.57/x
  3. Step 3: Cross multiply
    651.43x = 976.92 × 212.57
  4. Step 4: Simplify right side
    651.43x = 207,663.88
  5. Step 5: Solve for x
    x = 207,663.88/651.43
  6. Step 6: Final answer
    x = 318.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.