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Finding the Fourth Proportional to 809.04, 1,116.46 and 459.73

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Solution

The fourth proportional to 809.04, 1,116.46 and 459.73 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.04 : 1,116.46 = 459.73 : x
  2. Step 2: Convert to fraction form
    809.04/1,116.46 = 459.73/x
  3. Step 3: Cross multiply
    809.04x = 1,116.46 × 459.73
  4. Step 4: Simplify right side
    809.04x = 513,270.16
  5. Step 5: Solve for x
    x = 513,270.16/809.04
  6. Step 6: Final answer
    x = 634.42

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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.