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Finding the Fourth Proportional to 911.71, 1,258.05 and 538.75

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Solution

The fourth proportional to 911.71, 1,258.05 and 538.75 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.71 : 1,258.05 = 538.75 : x
  2. Step 2: Convert to fraction form
    911.71/1,258.05 = 538.75/x
  3. Step 3: Cross multiply
    911.71x = 1,258.05 × 538.75
  4. Step 4: Simplify right side
    911.71x = 677,774.44
  5. Step 5: Solve for x
    x = 677,774.44/911.71
  6. Step 6: Final answer
    x = 743.41

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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.