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Finding the Fourth Proportional to 986.67, 1,361.46 and 588.24

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Solution

The fourth proportional to 986.67, 1,361.46 and 588.24 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.67 : 1,361.46 = 588.24 : x
  2. Step 2: Convert to fraction form
    986.67/1,361.46 = 588.24/x
  3. Step 3: Cross multiply
    986.67x = 1,361.46 × 588.24
  4. Step 4: Simplify right side
    986.67x = 800,865.23
  5. Step 5: Solve for x
    x = 800,865.23/986.67
  6. Step 6: Final answer
    x = 811.68

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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.