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Finding the Fourth Proportional to 911.72, 1,258.54 and 617.36

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Solution

The fourth proportional to 911.72, 1,258.54 and 617.36 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.72 : 1,258.54 = 617.36 : x
  2. Step 2: Convert to fraction form
    911.72/1,258.54 = 617.36/x
  3. Step 3: Cross multiply
    911.72x = 1,258.54 × 617.36
  4. Step 4: Simplify right side
    911.72x = 776,972.25
  5. Step 5: Solve for x
    x = 776,972.25/911.72
  6. Step 6: Final answer
    x = 852.20

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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.