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Finding the Fourth Proportional to 911.27, 1,366.61 and 391.13

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Solution

The fourth proportional to 911.27, 1,366.61 and 391.13 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,366.61 = 391.13 : x
  2. Step 2: Convert to fraction form
    911.27/1,366.61 = 391.13/x
  3. Step 3: Cross multiply
    911.27x = 1,366.61 × 391.13
  4. Step 4: Simplify right side
    911.27x = 534,513.38
  5. Step 5: Solve for x
    x = 534,513.38/911.27
  6. Step 6: Final answer
    x = 586.56

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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.