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Finding the Fourth Proportional to 992.16, 1,361.28 and 967.68

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Solution

The fourth proportional to 992.16, 1,361.28 and 967.68 is: 1,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.16 : 1,361.28 = 967.68 : x
  2. Step 2: Convert to fraction form
    992.16/1,361.28 = 967.68/x
  3. Step 3: Cross multiply
    992.16x = 1,361.28 × 967.68
  4. Step 4: Simplify right side
    992.16x = 1,317,283.43
  5. Step 5: Solve for x
    x = 1,317,283.43/992.16
  6. Step 6: Final answer
    x = 1,327.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.