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Finding the Fourth Proportional to 989.92, 1,371.88 and 976

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Solution

The fourth proportional to 989.92, 1,371.88 and 976 is: 1,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.92 : 1,371.88 = 976 : x
  2. Step 2: Convert to fraction form
    989.92/1,371.88 = 976/x
  3. Step 3: Cross multiply
    989.92x = 1,371.88 × 976
  4. Step 4: Simplify right side
    989.92x = 1,338,954.88
  5. Step 5: Solve for x
    x = 1,338,954.88/989.92
  6. Step 6: Final answer
    x = 1,352.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.