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Finding the Fourth Proportional to 809.09, 1,116.50 and 459.75

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Solution

The fourth proportional to 809.09, 1,116.50 and 459.75 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.09 : 1,116.50 = 459.75 : x
  2. Step 2: Convert to fraction form
    809.09/1,116.50 = 459.75/x
  3. Step 3: Cross multiply
    809.09x = 1,116.50 × 459.75
  4. Step 4: Simplify right side
    809.09x = 513,308.58
  5. Step 5: Solve for x
    x = 513,308.58/809.09
  6. Step 6: Final answer
    x = 634.43

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1.5x scale

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.