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Finding the Fourth Proportional to 727.76, 1,091.90 and 289.16

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Solution

The fourth proportional to 727.76, 1,091.90 and 289.16 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,091.90 = 289.16 : x
  2. Step 2: Convert to fraction form
    727.76/1,091.90 = 289.16/x
  3. Step 3: Cross multiply
    727.76x = 1,091.90 × 289.16
  4. Step 4: Simplify right side
    727.76x = 315,733.80
  5. Step 5: Solve for x
    x = 315,733.80/727.76
  6. Step 6: Final answer
    x = 433.84

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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.