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Finding the Fourth Proportional to 809, 1,116.42 and 459.71

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Solution

The fourth proportional to 809, 1,116.42 and 459.71 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,116.42 = 459.71 : x
  2. Step 2: Convert to fraction form
    809/1,116.42 = 459.71/x
  3. Step 3: Cross multiply
    809x = 1,116.42 × 459.71
  4. Step 4: Simplify right side
    809x = 513,229.44
  5. Step 5: Solve for x
    x = 513,229.44/809
  6. Step 6: Final answer
    x = 634.40

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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.