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Finding the Fourth Proportional to 727.67, 1,095.61 and 641.55

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Solution

The fourth proportional to 727.67, 1,095.61 and 641.55 is: 965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.67 : 1,095.61 = 641.55 : x
  2. Step 2: Convert to fraction form
    727.67/1,095.61 = 641.55/x
  3. Step 3: Cross multiply
    727.67x = 1,095.61 × 641.55
  4. Step 4: Simplify right side
    727.67x = 702,892.30
  5. Step 5: Solve for x
    x = 702,892.30/727.67
  6. Step 6: Final answer
    x = 965.95

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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.