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Finding the Fourth Proportional to 1,112.42, 1,667.27 and 837.63

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Solution

The fourth proportional to 1,112.42, 1,667.27 and 837.63 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.42 : 1,667.27 = 837.63 : x
  2. Step 2: Convert to fraction form
    1,112.42/1,667.27 = 837.63/x
  3. Step 3: Cross multiply
    1,112.42x = 1,667.27 × 837.63
  4. Step 4: Simplify right side
    1,112.42x = 1,396,551.18
  5. Step 5: Solve for x
    x = 1,396,551.18/1,112.42
  6. Step 6: Final answer
    x = 1,255.42

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