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Finding the Fourth Proportional to 988.02, 1,361.96 and 813.06

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Solution

The fourth proportional to 988.02, 1,361.96 and 813.06 is: 1,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.02 : 1,361.96 = 813.06 : x
  2. Step 2: Convert to fraction form
    988.02/1,361.96 = 813.06/x
  3. Step 3: Cross multiply
    988.02x = 1,361.96 × 813.06
  4. Step 4: Simplify right side
    988.02x = 1,107,355.20
  5. Step 5: Solve for x
    x = 1,107,355.20/988.02
  6. Step 6: Final answer
    x = 1,120.78

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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.