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Finding the Fourth Proportional to 938.65, 1,406.83 and 664.82

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Solution

The fourth proportional to 938.65, 1,406.83 and 664.82 is: 996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.65 : 1,406.83 = 664.82 : x
  2. Step 2: Convert to fraction form
    938.65/1,406.83 = 664.82/x
  3. Step 3: Cross multiply
    938.65x = 1,406.83 × 664.82
  4. Step 4: Simplify right side
    938.65x = 935,288.72
  5. Step 5: Solve for x
    x = 935,288.72/938.65
  6. Step 6: Final answer
    x = 996.42

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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.