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Finding the Fourth Proportional to 734.73, 1,102.66 and 272.95

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Solution

The fourth proportional to 734.73, 1,102.66 and 272.95 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.73 : 1,102.66 = 272.95 : x
  2. Step 2: Convert to fraction form
    734.73/1,102.66 = 272.95/x
  3. Step 3: Cross multiply
    734.73x = 1,102.66 × 272.95
  4. Step 4: Simplify right side
    734.73x = 300,967.61
  5. Step 5: Solve for x
    x = 300,967.61/734.73
  6. Step 6: Final answer
    x = 409.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.