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Finding the Fourth Proportional to 1,189.22, 1,640.44 and 716.78

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Solution

The fourth proportional to 1,189.22, 1,640.44 and 716.78 is: 988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.22 : 1,640.44 = 716.78 : x
  2. Step 2: Convert to fraction form
    1,189.22/1,640.44 = 716.78/x
  3. Step 3: Cross multiply
    1,189.22x = 1,640.44 × 716.78
  4. Step 4: Simplify right side
    1,189.22x = 1,175,834.58
  5. Step 5: Solve for x
    x = 1,175,834.58/1,189.22
  6. Step 6: Final answer
    x = 988.74

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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.