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Finding the Fourth Proportional to 727.85, 1,091.42 and 240.74

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Solution

The fourth proportional to 727.85, 1,091.42 and 240.74 is: 360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,091.42 = 240.74 : x
  2. Step 2: Convert to fraction form
    727.85/1,091.42 = 240.74/x
  3. Step 3: Cross multiply
    727.85x = 1,091.42 × 240.74
  4. Step 4: Simplify right side
    727.85x = 262,742.39
  5. Step 5: Solve for x
    x = 262,742.39/727.85
  6. Step 6: Final answer
    x = 360.98

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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.