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Finding the Fourth Proportional to 727.68, 1,091.78 and 289.14

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Solution

The fourth proportional to 727.68, 1,091.78 and 289.14 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,091.78 = 289.14 : x
  2. Step 2: Convert to fraction form
    727.68/1,091.78 = 289.14/x
  3. Step 3: Cross multiply
    727.68x = 1,091.78 × 289.14
  4. Step 4: Simplify right side
    727.68x = 315,677.27
  5. Step 5: Solve for x
    x = 315,677.27/727.68
  6. Step 6: Final answer
    x = 433.81

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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.