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Finding the Fourth Proportional to 996.35, 1,492.20 and 961.74

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Solution

The fourth proportional to 996.35, 1,492.20 and 961.74 is: 1,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.35 : 1,492.20 = 961.74 : x
  2. Step 2: Convert to fraction form
    996.35/1,492.20 = 961.74/x
  3. Step 3: Cross multiply
    996.35x = 1,492.20 × 961.74
  4. Step 4: Simplify right side
    996.35x = 1,435,103.62
  5. Step 5: Solve for x
    x = 1,435,103.62/996.35
  6. Step 6: Final answer
    x = 1,440.37

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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.