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Finding the Fourth Proportional to 989.56, 1,367.04 and 781.12

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Solution

The fourth proportional to 989.56, 1,367.04 and 781.12 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.56 : 1,367.04 = 781.12 : x
  2. Step 2: Convert to fraction form
    989.56/1,367.04 = 781.12/x
  3. Step 3: Cross multiply
    989.56x = 1,367.04 × 781.12
  4. Step 4: Simplify right side
    989.56x = 1,067,822.28
  5. Step 5: Solve for x
    x = 1,067,822.28/989.56
  6. Step 6: Final answer
    x = 1,079.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.