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Finding the Fourth Proportional to 1,361.46, 1,879.59 and 896.52

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Solution

The fourth proportional to 1,361.46, 1,879.59 and 896.52 is: 1,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.46 : 1,879.59 = 896.52 : x
  2. Step 2: Convert to fraction form
    1,361.46/1,879.59 = 896.52/x
  3. Step 3: Cross multiply
    1,361.46x = 1,879.59 × 896.52
  4. Step 4: Simplify right side
    1,361.46x = 1,685,090.03
  5. Step 5: Solve for x
    x = 1,685,090.03/1,361.46
  6. Step 6: Final answer
    x = 1,237.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.