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Finding the Fourth Proportional to 1,361.77, 1,879.02 and 857.55

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Solution

The fourth proportional to 1,361.77, 1,879.02 and 857.55 is: 1,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.77 : 1,879.02 = 857.55 : x
  2. Step 2: Convert to fraction form
    1,361.77/1,879.02 = 857.55/x
  3. Step 3: Cross multiply
    1,361.77x = 1,879.02 × 857.55
  4. Step 4: Simplify right side
    1,361.77x = 1,611,352.49
  5. Step 5: Solve for x
    x = 1,611,352.49/1,361.77
  6. Step 6: Final answer
    x = 1,183.28

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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.