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Finding the Fourth Proportional to 911.27, 1,367.01 and 683.06

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Solution

The fourth proportional to 911.27, 1,367.01 and 683.06 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,367.01 = 683.06 : x
  2. Step 2: Convert to fraction form
    911.27/1,367.01 = 683.06/x
  3. Step 3: Cross multiply
    911.27x = 1,367.01 × 683.06
  4. Step 4: Simplify right side
    911.27x = 933,743.02
  5. Step 5: Solve for x
    x = 933,743.02/911.27
  6. Step 6: Final answer
    x = 1,024.66

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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.