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Finding the Fourth Proportional to 1,226.71, 1,840.15 and 361.06

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Solution

The fourth proportional to 1,226.71, 1,840.15 and 361.06 is: 541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.71 : 1,840.15 = 361.06 : x
  2. Step 2: Convert to fraction form
    1,226.71/1,840.15 = 361.06/x
  3. Step 3: Cross multiply
    1,226.71x = 1,840.15 × 361.06
  4. Step 4: Simplify right side
    1,226.71x = 664,400.41
  5. Step 5: Solve for x
    x = 664,400.41/1,226.71
  6. Step 6: Final answer
    x = 541.61

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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.