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Finding the Fourth Proportional to 735.11, 1,102.54 and 272.78

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Solution

The fourth proportional to 735.11, 1,102.54 and 272.78 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.11 : 1,102.54 = 272.78 : x
  2. Step 2: Convert to fraction form
    735.11/1,102.54 = 272.78/x
  3. Step 3: Cross multiply
    735.11x = 1,102.54 × 272.78
  4. Step 4: Simplify right side
    735.11x = 300,750.86
  5. Step 5: Solve for x
    x = 300,750.86/735.11
  6. Step 6: Final answer
    x = 409.12

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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.