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Finding the Fourth Proportional to 728.15, 1,090.53 and 361.76

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Solution

The fourth proportional to 728.15, 1,090.53 and 361.76 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.15 : 1,090.53 = 361.76 : x
  2. Step 2: Convert to fraction form
    728.15/1,090.53 = 361.76/x
  3. Step 3: Cross multiply
    728.15x = 1,090.53 × 361.76
  4. Step 4: Simplify right side
    728.15x = 394,504.68
  5. Step 5: Solve for x
    x = 394,504.68/728.15
  6. Step 6: Final answer
    x = 541.79

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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.