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Finding the Fourth Proportional to 727.16, 1,090.62 and 380.68

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Solution

The fourth proportional to 727.16, 1,090.62 and 380.68 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.16 : 1,090.62 = 380.68 : x
  2. Step 2: Convert to fraction form
    727.16/1,090.62 = 380.68/x
  3. Step 3: Cross multiply
    727.16x = 1,090.62 × 380.68
  4. Step 4: Simplify right side
    727.16x = 415,177.22
  5. Step 5: Solve for x
    x = 415,177.22/727.16
  6. Step 6: Final answer
    x = 570.96

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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.