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Finding the Fourth Proportional to 986.59, 1,361.67 and 588.27

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Solution

The fourth proportional to 986.59, 1,361.67 and 588.27 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.59 : 1,361.67 = 588.27 : x
  2. Step 2: Convert to fraction form
    986.59/1,361.67 = 588.27/x
  3. Step 3: Cross multiply
    986.59x = 1,361.67 × 588.27
  4. Step 4: Simplify right side
    986.59x = 801,032.51
  5. Step 5: Solve for x
    x = 801,032.51/986.59
  6. Step 6: Final answer
    x = 811.92

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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.