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Finding the Fourth Proportional to 996.41, 1,492.29 and 961.80

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Solution

The fourth proportional to 996.41, 1,492.29 and 961.80 is: 1,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.41 : 1,492.29 = 961.80 : x
  2. Step 2: Convert to fraction form
    996.41/1,492.29 = 961.80/x
  3. Step 3: Cross multiply
    996.41x = 1,492.29 × 961.80
  4. Step 4: Simplify right side
    996.41x = 1,435,284.52
  5. Step 5: Solve for x
    x = 1,435,284.52/996.41
  6. Step 6: Final answer
    x = 1,440.46

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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.