Home / 727.35-1,090.80-380.58

Finding the Fourth Proportional to 727.35, 1,090.80 and 380.58

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Solution

The fourth proportional to 727.35, 1,090.80 and 380.58 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.35 : 1,090.80 = 380.58 : x
  2. Step 2: Convert to fraction form
    727.35/1,090.80 = 380.58/x
  3. Step 3: Cross multiply
    727.35x = 1,090.80 × 380.58
  4. Step 4: Simplify right side
    727.35x = 415,136.66
  5. Step 5: Solve for x
    x = 415,136.66/727.35
  6. Step 6: Final answer
    x = 570.75

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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.