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Finding the Fourth Proportional to 911.25, 1,258.54 and 616

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Solution

The fourth proportional to 911.25, 1,258.54 and 616 is: 850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,258.54 = 616 : x
  2. Step 2: Convert to fraction form
    911.25/1,258.54 = 616/x
  3. Step 3: Cross multiply
    911.25x = 1,258.54 × 616
  4. Step 4: Simplify right side
    911.25x = 775,260.64
  5. Step 5: Solve for x
    x = 775,260.64/911.25
  6. Step 6: Final answer
    x = 850.77

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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.