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Finding the Fourth Proportional to 986.85, 1,361.86 and 544.75

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Solution

The fourth proportional to 986.85, 1,361.86 and 544.75 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,361.86 = 544.75 : x
  2. Step 2: Convert to fraction form
    986.85/1,361.86 = 544.75/x
  3. Step 3: Cross multiply
    986.85x = 1,361.86 × 544.75
  4. Step 4: Simplify right side
    986.85x = 741,870.51
  5. Step 5: Solve for x
    x = 741,870.51/986.85
  6. Step 6: Final answer
    x = 751.76

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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.