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Finding the Fourth Proportional to 1,189.05, 1,640.91 and 691.71

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Solution

The fourth proportional to 1,189.05, 1,640.91 and 691.71 is: 954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.05 : 1,640.91 = 691.71 : x
  2. Step 2: Convert to fraction form
    1,189.05/1,640.91 = 691.71/x
  3. Step 3: Cross multiply
    1,189.05x = 1,640.91 × 691.71
  4. Step 4: Simplify right side
    1,189.05x = 1,135,033.86
  5. Step 5: Solve for x
    x = 1,135,033.86/1,189.05
  6. Step 6: Final answer
    x = 954.57

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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.