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Finding the Fourth Proportional to 809.56, 1,214.52 and 443.83

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Solution

The fourth proportional to 809.56, 1,214.52 and 443.83 is: 665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.56 : 1,214.52 = 443.83 : x
  2. Step 2: Convert to fraction form
    809.56/1,214.52 = 443.83/x
  3. Step 3: Cross multiply
    809.56x = 1,214.52 × 443.83
  4. Step 4: Simplify right side
    809.56x = 539,040.41
  5. Step 5: Solve for x
    x = 539,040.41/809.56
  6. Step 6: Final answer
    x = 665.84

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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.