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Finding the Fourth Proportional to 727.11, 1,090.67 and 419.31

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Solution

The fourth proportional to 727.11, 1,090.67 and 419.31 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.11 : 1,090.67 = 419.31 : x
  2. Step 2: Convert to fraction form
    727.11/1,090.67 = 419.31/x
  3. Step 3: Cross multiply
    727.11x = 1,090.67 × 419.31
  4. Step 4: Simplify right side
    727.11x = 457,326.74
  5. Step 5: Solve for x
    x = 457,326.74/727.11
  6. Step 6: Final answer
    x = 628.97

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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.