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Finding the Fourth Proportional to 989.73, 1,481.54 and 852.93

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Solution

The fourth proportional to 989.73, 1,481.54 and 852.93 is: 1,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.73 : 1,481.54 = 852.93 : x
  2. Step 2: Convert to fraction form
    989.73/1,481.54 = 852.93/x
  3. Step 3: Cross multiply
    989.73x = 1,481.54 × 852.93
  4. Step 4: Simplify right side
    989.73x = 1,263,645.65
  5. Step 5: Solve for x
    x = 1,263,645.65/989.73
  6. Step 6: Final answer
    x = 1,276.76

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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.