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Finding the Fourth Proportional to 986.71, 1,361.84 and 588.40

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Solution

The fourth proportional to 986.71, 1,361.84 and 588.40 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 1,361.84 = 588.40 : x
  2. Step 2: Convert to fraction form
    986.71/1,361.84 = 588.40/x
  3. Step 3: Cross multiply
    986.71x = 1,361.84 × 588.40
  4. Step 4: Simplify right side
    986.71x = 801,301.78
  5. Step 5: Solve for x
    x = 801,301.78/986.71
  6. Step 6: Final answer
    x = 812.09

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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.