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Finding the Fourth Proportional to 989.72, 1,481.80 and 792.88

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Solution

The fourth proportional to 989.72, 1,481.80 and 792.88 is: 1,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.72 : 1,481.80 = 792.88 : x
  2. Step 2: Convert to fraction form
    989.72/1,481.80 = 792.88/x
  3. Step 3: Cross multiply
    989.72x = 1,481.80 × 792.88
  4. Step 4: Simplify right side
    989.72x = 1,174,889.58
  5. Step 5: Solve for x
    x = 1,174,889.58/989.72
  6. Step 6: Final answer
    x = 1,187.09

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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.