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Finding the Fourth Proportional to 811.96, 1,219.82 and 487.56

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Solution

The fourth proportional to 811.96, 1,219.82 and 487.56 is: 732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.96 : 1,219.82 = 487.56 : x
  2. Step 2: Convert to fraction form
    811.96/1,219.82 = 487.56/x
  3. Step 3: Cross multiply
    811.96x = 1,219.82 × 487.56
  4. Step 4: Simplify right side
    811.96x = 594,735.44
  5. Step 5: Solve for x
    x = 594,735.44/811.96
  6. Step 6: Final answer
    x = 732.47

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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.