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Finding the Fourth Proportional to 990.41, 1,493.22 and 923.49

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Solution

The fourth proportional to 990.41, 1,493.22 and 923.49 is: 1,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.41 : 1,493.22 = 923.49 : x
  2. Step 2: Convert to fraction form
    990.41/1,493.22 = 923.49/x
  3. Step 3: Cross multiply
    990.41x = 1,493.22 × 923.49
  4. Step 4: Simplify right side
    990.41x = 1,378,961.65
  5. Step 5: Solve for x
    x = 1,378,961.65/990.41
  6. Step 6: Final answer
    x = 1,392.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.