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Finding the Fourth Proportional to 986.55, 1,361.93 and 773.49

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Solution

The fourth proportional to 986.55, 1,361.93 and 773.49 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.55 : 1,361.93 = 773.49 : x
  2. Step 2: Convert to fraction form
    986.55/1,361.93 = 773.49/x
  3. Step 3: Cross multiply
    986.55x = 1,361.93 × 773.49
  4. Step 4: Simplify right side
    986.55x = 1,053,441.90
  5. Step 5: Solve for x
    x = 1,053,441.90/986.55
  6. Step 6: Final answer
    x = 1,067.80

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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.