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Finding the Fourth Proportional to 911.05, 1,258.41 and 764.44

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Solution

The fourth proportional to 911.05, 1,258.41 and 764.44 is: 1,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.05 : 1,258.41 = 764.44 : x
  2. Step 2: Convert to fraction form
    911.05/1,258.41 = 764.44/x
  3. Step 3: Cross multiply
    911.05x = 1,258.41 × 764.44
  4. Step 4: Simplify right side
    911.05x = 961,978.94
  5. Step 5: Solve for x
    x = 961,978.94/911.05
  6. Step 6: Final answer
    x = 1,055.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.