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Finding the Fourth Proportional to 992.32, 1,367.82 and 931.54

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Solution

The fourth proportional to 992.32, 1,367.82 and 931.54 is: 1,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.32 : 1,367.82 = 931.54 : x
  2. Step 2: Convert to fraction form
    992.32/1,367.82 = 931.54/x
  3. Step 3: Cross multiply
    992.32x = 1,367.82 × 931.54
  4. Step 4: Simplify right side
    992.32x = 1,274,179.04
  5. Step 5: Solve for x
    x = 1,274,179.04/992.32
  6. Step 6: Final answer
    x = 1,284.04

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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.