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Finding the Fourth Proportional to 727.89, 1,091.67 and 259.34

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Solution

The fourth proportional to 727.89, 1,091.67 and 259.34 is: 388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.89 : 1,091.67 = 259.34 : x
  2. Step 2: Convert to fraction form
    727.89/1,091.67 = 259.34/x
  3. Step 3: Cross multiply
    727.89x = 1,091.67 × 259.34
  4. Step 4: Simplify right side
    727.89x = 283,108.24
  5. Step 5: Solve for x
    x = 283,108.24/727.89
  6. Step 6: Final answer
    x = 388.94

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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.