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Finding the Fourth Proportional to 727.34, 1,091.25 and 484.82

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Solution

The fourth proportional to 727.34, 1,091.25 and 484.82 is: 727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.34 : 1,091.25 = 484.82 : x
  2. Step 2: Convert to fraction form
    727.34/1,091.25 = 484.82/x
  3. Step 3: Cross multiply
    727.34x = 1,091.25 × 484.82
  4. Step 4: Simplify right side
    727.34x = 529,059.83
  5. Step 5: Solve for x
    x = 529,059.83/727.34
  6. Step 6: Final answer
    x = 727.39

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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.