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Finding the Fourth Proportional to 988.91, 1,361.68 and 863.84

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Solution

The fourth proportional to 988.91, 1,361.68 and 863.84 is: 1,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.91 : 1,361.68 = 863.84 : x
  2. Step 2: Convert to fraction form
    988.91/1,361.68 = 863.84/x
  3. Step 3: Cross multiply
    988.91x = 1,361.68 × 863.84
  4. Step 4: Simplify right side
    988.91x = 1,176,274.90
  5. Step 5: Solve for x
    x = 1,176,274.90/988.91
  6. Step 6: Final answer
    x = 1,189.46

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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.