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Finding the Fourth Proportional to 911.88, 1,257.84 and 617.22

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Solution

The fourth proportional to 911.88, 1,257.84 and 617.22 is: 851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.88 : 1,257.84 = 617.22 : x
  2. Step 2: Convert to fraction form
    911.88/1,257.84 = 617.22/x
  3. Step 3: Cross multiply
    911.88x = 1,257.84 × 617.22
  4. Step 4: Simplify right side
    911.88x = 776,364.00
  5. Step 5: Solve for x
    x = 776,364.00/911.88
  6. Step 6: Final answer
    x = 851.39

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1.5x scale

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.