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Finding the Fourth Proportional to 1,244.74, 1,867.12 and 834.08

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Solution

The fourth proportional to 1,244.74, 1,867.12 and 834.08 is: 1,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.74 : 1,867.12 = 834.08 : x
  2. Step 2: Convert to fraction form
    1,244.74/1,867.12 = 834.08/x
  3. Step 3: Cross multiply
    1,244.74x = 1,867.12 × 834.08
  4. Step 4: Simplify right side
    1,244.74x = 1,557,327.45
  5. Step 5: Solve for x
    x = 1,557,327.45/1,244.74
  6. Step 6: Final answer
    x = 1,251.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.