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Finding the Fourth Proportional to 727.15, 1,090.81 and 316.33

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Solution

The fourth proportional to 727.15, 1,090.81 and 316.33 is: 474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.15 : 1,090.81 = 316.33 : x
  2. Step 2: Convert to fraction form
    727.15/1,090.81 = 316.33/x
  3. Step 3: Cross multiply
    727.15x = 1,090.81 × 316.33
  4. Step 4: Simplify right side
    727.15x = 345,055.93
  5. Step 5: Solve for x
    x = 345,055.93/727.15
  6. Step 6: Final answer
    x = 474.53

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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.