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Finding the Fourth Proportional to 735.61, 1,103.29 and 273.28

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Solution

The fourth proportional to 735.61, 1,103.29 and 273.28 is: 409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.61 : 1,103.29 = 273.28 : x
  2. Step 2: Convert to fraction form
    735.61/1,103.29 = 273.28/x
  3. Step 3: Cross multiply
    735.61x = 1,103.29 × 273.28
  4. Step 4: Simplify right side
    735.61x = 301,507.09
  5. Step 5: Solve for x
    x = 301,507.09/735.61
  6. Step 6: Final answer
    x = 409.87

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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.