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Finding the Fourth Proportional to 989.52, 1,359.70 and 885.84

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Solution

The fourth proportional to 989.52, 1,359.70 and 885.84 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.52 : 1,359.70 = 885.84 : x
  2. Step 2: Convert to fraction form
    989.52/1,359.70 = 885.84/x
  3. Step 3: Cross multiply
    989.52x = 1,359.70 × 885.84
  4. Step 4: Simplify right side
    989.52x = 1,204,476.65
  5. Step 5: Solve for x
    x = 1,204,476.65/989.52
  6. Step 6: Final answer
    x = 1,217.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.