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Finding the Fourth Proportional to 727.66, 1,095.49 and 641.49

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Solution

The fourth proportional to 727.66, 1,095.49 and 641.49 is: 965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,095.49 = 641.49 : x
  2. Step 2: Convert to fraction form
    727.66/1,095.49 = 641.49/x
  3. Step 3: Cross multiply
    727.66x = 1,095.49 × 641.49
  4. Step 4: Simplify right side
    727.66x = 702,745.88
  5. Step 5: Solve for x
    x = 702,745.88/727.66
  6. Step 6: Final answer
    x = 965.76

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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.