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Finding the Fourth Proportional to 995.91, 1,491.54 and 961.30

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Solution

The fourth proportional to 995.91, 1,491.54 and 961.30 is: 1,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.91 : 1,491.54 = 961.30 : x
  2. Step 2: Convert to fraction form
    995.91/1,491.54 = 961.30/x
  3. Step 3: Cross multiply
    995.91x = 1,491.54 × 961.30
  4. Step 4: Simplify right side
    995.91x = 1,433,817.40
  5. Step 5: Solve for x
    x = 1,433,817.40/995.91
  6. Step 6: Final answer
    x = 1,439.71

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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.