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Finding the Fourth Proportional to 1,261.80, 1,893.84 and 677.28

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Solution

The fourth proportional to 1,261.80, 1,893.84 and 677.28 is: 1,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.80 : 1,893.84 = 677.28 : x
  2. Step 2: Convert to fraction form
    1,261.80/1,893.84 = 677.28/x
  3. Step 3: Cross multiply
    1,261.80x = 1,893.84 × 677.28
  4. Step 4: Simplify right side
    1,261.80x = 1,282,659.96
  5. Step 5: Solve for x
    x = 1,282,659.96/1,261.80
  6. Step 6: Final answer
    x = 1,016.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.