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Finding the Fourth Proportional to 987.05, 1,361.81 and 588.60

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Solution

The fourth proportional to 987.05, 1,361.81 and 588.60 is: 812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.05 : 1,361.81 = 588.60 : x
  2. Step 2: Convert to fraction form
    987.05/1,361.81 = 588.60/x
  3. Step 3: Cross multiply
    987.05x = 1,361.81 × 588.60
  4. Step 4: Simplify right side
    987.05x = 801,562.84
  5. Step 5: Solve for x
    x = 801,562.84/987.05
  6. Step 6: Final answer
    x = 812.08

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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.