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Finding the Fourth Proportional to 727.67, 1,090.83 and 533.61

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Solution

The fourth proportional to 727.67, 1,090.83 and 533.61 is: 799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.67 : 1,090.83 = 533.61 : x
  2. Step 2: Convert to fraction form
    727.67/1,090.83 = 533.61/x
  3. Step 3: Cross multiply
    727.67x = 1,090.83 × 533.61
  4. Step 4: Simplify right side
    727.67x = 582,077.80
  5. Step 5: Solve for x
    x = 582,077.80/727.67
  6. Step 6: Final answer
    x = 799.92

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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.