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Finding the Fourth Proportional to 727.52, 1,091.82 and 484.52

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Solution

The fourth proportional to 727.52, 1,091.82 and 484.52 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,091.82 = 484.52 : x
  2. Step 2: Convert to fraction form
    727.52/1,091.82 = 484.52/x
  3. Step 3: Cross multiply
    727.52x = 1,091.82 × 484.52
  4. Step 4: Simplify right side
    727.52x = 529,008.63
  5. Step 5: Solve for x
    x = 529,008.63/727.52
  6. Step 6: Final answer
    x = 727.14

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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.