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Finding the Fourth Proportional to 911.88, 1,257.66 and 825.48

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Solution

The fourth proportional to 911.88, 1,257.66 and 825.48 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.88 : 1,257.66 = 825.48 : x
  2. Step 2: Convert to fraction form
    911.88/1,257.66 = 825.48/x
  3. Step 3: Cross multiply
    911.88x = 1,257.66 × 825.48
  4. Step 4: Simplify right side
    911.88x = 1,038,173.18
  5. Step 5: Solve for x
    x = 1,038,173.18/911.88
  6. Step 6: Final answer
    x = 1,138.50

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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.