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Finding the Fourth Proportional to 911.27, 1,257.98 and 617.01

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Solution

The fourth proportional to 911.27, 1,257.98 and 617.01 is: 851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,257.98 = 617.01 : x
  2. Step 2: Convert to fraction form
    911.27/1,257.98 = 617.01/x
  3. Step 3: Cross multiply
    911.27x = 1,257.98 × 617.01
  4. Step 4: Simplify right side
    911.27x = 776,186.24
  5. Step 5: Solve for x
    x = 776,186.24/911.27
  6. Step 6: Final answer
    x = 851.76

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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.