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Finding the Fourth Proportional to 809.29, 1,116.79 and 477.73

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Solution

The fourth proportional to 809.29, 1,116.79 and 477.73 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.29 : 1,116.79 = 477.73 : x
  2. Step 2: Convert to fraction form
    809.29/1,116.79 = 477.73/x
  3. Step 3: Cross multiply
    809.29x = 1,116.79 × 477.73
  4. Step 4: Simplify right side
    809.29x = 533,524.09
  5. Step 5: Solve for x
    x = 533,524.09/809.29
  6. Step 6: Final answer
    x = 659.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.