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Finding the Fourth Proportional to 1,224.18, 1,836.27 and 299.74

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Solution

The fourth proportional to 1,224.18, 1,836.27 and 299.74 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.18 : 1,836.27 = 299.74 : x
  2. Step 2: Convert to fraction form
    1,224.18/1,836.27 = 299.74/x
  3. Step 3: Cross multiply
    1,224.18x = 1,836.27 × 299.74
  4. Step 4: Simplify right side
    1,224.18x = 550,403.57
  5. Step 5: Solve for x
    x = 550,403.57/1,224.18
  6. Step 6: Final answer
    x = 449.61

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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.