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Finding the Fourth Proportional to 911.83, 1,365.28 and 725.86

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Solution

The fourth proportional to 911.83, 1,365.28 and 725.86 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.83 : 1,365.28 = 725.86 : x
  2. Step 2: Convert to fraction form
    911.83/1,365.28 = 725.86/x
  3. Step 3: Cross multiply
    911.83x = 1,365.28 × 725.86
  4. Step 4: Simplify right side
    911.83x = 991,004.07
  5. Step 5: Solve for x
    x = 991,004.07/911.83
  6. Step 6: Final answer
    x = 1,086.83

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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.