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Finding the Fourth Proportional to 717.36, 1,080.57 and 641.22

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Solution

The fourth proportional to 717.36, 1,080.57 and 641.22 is: 965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.36 : 1,080.57 = 641.22 : x
  2. Step 2: Convert to fraction form
    717.36/1,080.57 = 641.22/x
  3. Step 3: Cross multiply
    717.36x = 1,080.57 × 641.22
  4. Step 4: Simplify right side
    717.36x = 692,874.49
  5. Step 5: Solve for x
    x = 692,874.49/717.36
  6. Step 6: Final answer
    x = 965.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.