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Finding the Fourth Proportional to 1,224.15, 1,836.22 and 860.56

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Solution

The fourth proportional to 1,224.15, 1,836.22 and 860.56 is: 1,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.15 : 1,836.22 = 860.56 : x
  2. Step 2: Convert to fraction form
    1,224.15/1,836.22 = 860.56/x
  3. Step 3: Cross multiply
    1,224.15x = 1,836.22 × 860.56
  4. Step 4: Simplify right side
    1,224.15x = 1,580,164.00
  5. Step 5: Solve for x
    x = 1,580,164.00/1,224.15
  6. Step 6: Final answer
    x = 1,290.83

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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.