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Finding the Fourth Proportional to 911.84, 1,257.50 and 617.54

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Solution

The fourth proportional to 911.84, 1,257.50 and 617.54 is: 851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.84 : 1,257.50 = 617.54 : x
  2. Step 2: Convert to fraction form
    911.84/1,257.50 = 617.54/x
  3. Step 3: Cross multiply
    911.84x = 1,257.50 × 617.54
  4. Step 4: Simplify right side
    911.84x = 776,556.55
  5. Step 5: Solve for x
    x = 776,556.55/911.84
  6. Step 6: Final answer
    x = 851.64

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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.