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Finding the Fourth Proportional to 1,149.39, 1,585.49 and 834.29

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Solution

The fourth proportional to 1,149.39, 1,585.49 and 834.29 is: 1,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.39 : 1,585.49 = 834.29 : x
  2. Step 2: Convert to fraction form
    1,149.39/1,585.49 = 834.29/x
  3. Step 3: Cross multiply
    1,149.39x = 1,585.49 × 834.29
  4. Step 4: Simplify right side
    1,149.39x = 1,322,758.45
  5. Step 5: Solve for x
    x = 1,322,758.45/1,149.39
  6. Step 6: Final answer
    x = 1,150.84

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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.