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Finding the Fourth Proportional to 911.06, 1,258.26 and 617.12

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Solution

The fourth proportional to 911.06, 1,258.26 and 617.12 is: 852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.06 : 1,258.26 = 617.12 : x
  2. Step 2: Convert to fraction form
    911.06/1,258.26 = 617.12/x
  3. Step 3: Cross multiply
    911.06x = 1,258.26 × 617.12
  4. Step 4: Simplify right side
    911.06x = 776,497.41
  5. Step 5: Solve for x
    x = 776,497.41/911.06
  6. Step 6: Final answer
    x = 852.30

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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.