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Finding the Fourth Proportional to 1,361.27, 1,878.01 and 889.02

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Solution

The fourth proportional to 1,361.27, 1,878.01 and 889.02 is: 1,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.27 : 1,878.01 = 889.02 : x
  2. Step 2: Convert to fraction form
    1,361.27/1,878.01 = 889.02/x
  3. Step 3: Cross multiply
    1,361.27x = 1,878.01 × 889.02
  4. Step 4: Simplify right side
    1,361.27x = 1,669,579.06
  5. Step 5: Solve for x
    x = 1,669,579.06/1,361.27
  6. Step 6: Final answer
    x = 1,226.49

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Why These Related Problems?

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