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Finding the Fourth Proportional to 911.92, 1,367.13 and 411.64

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Solution

The fourth proportional to 911.92, 1,367.13 and 411.64 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.92 : 1,367.13 = 411.64 : x
  2. Step 2: Convert to fraction form
    911.92/1,367.13 = 411.64/x
  3. Step 3: Cross multiply
    911.92x = 1,367.13 × 411.64
  4. Step 4: Simplify right side
    911.92x = 562,765.39
  5. Step 5: Solve for x
    x = 562,765.39/911.92
  6. Step 6: Final answer
    x = 617.12

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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.