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Finding the Fourth Proportional to 911.10, 1,258.44 and 786.71

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Solution

The fourth proportional to 911.10, 1,258.44 and 786.71 is: 1,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.10 : 1,258.44 = 786.71 : x
  2. Step 2: Convert to fraction form
    911.10/1,258.44 = 786.71/x
  3. Step 3: Cross multiply
    911.10x = 1,258.44 × 786.71
  4. Step 4: Simplify right side
    911.10x = 990,027.53
  5. Step 5: Solve for x
    x = 990,027.53/911.10
  6. Step 6: Final answer
    x = 1,086.63

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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.