Home / 727.18-1,090.25-380.33

Finding the Fourth Proportional to 727.18, 1,090.25 and 380.33

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Solution

The fourth proportional to 727.18, 1,090.25 and 380.33 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.18 : 1,090.25 = 380.33 : x
  2. Step 2: Convert to fraction form
    727.18/1,090.25 = 380.33/x
  3. Step 3: Cross multiply
    727.18x = 1,090.25 × 380.33
  4. Step 4: Simplify right side
    727.18x = 414,659.42
  5. Step 5: Solve for x
    x = 414,659.42/727.18
  6. Step 6: Final answer
    x = 570.23

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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.