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Finding the Fourth Proportional to 989.78, 1,481.40 and 711.41

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Solution

The fourth proportional to 989.78, 1,481.40 and 711.41 is: 1,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.78 : 1,481.40 = 711.41 : x
  2. Step 2: Convert to fraction form
    989.78/1,481.40 = 711.41/x
  3. Step 3: Cross multiply
    989.78x = 1,481.40 × 711.41
  4. Step 4: Simplify right side
    989.78x = 1,053,882.77
  5. Step 5: Solve for x
    x = 1,053,882.77/989.78
  6. Step 6: Final answer
    x = 1,064.76

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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.