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Finding the Fourth Proportional to 992.22, 1,489.26 and 862.62

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Solution

The fourth proportional to 992.22, 1,489.26 and 862.62 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.22 : 1,489.26 = 862.62 : x
  2. Step 2: Convert to fraction form
    992.22/1,489.26 = 862.62/x
  3. Step 3: Cross multiply
    992.22x = 1,489.26 × 862.62
  4. Step 4: Simplify right side
    992.22x = 1,284,665.46
  5. Step 5: Solve for x
    x = 1,284,665.46/992.22
  6. Step 6: Final answer
    x = 1,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.