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Finding the Fourth Proportional to 809.09, 1,213.79 and 398.12

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Solution

The fourth proportional to 809.09, 1,213.79 and 398.12 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.09 : 1,213.79 = 398.12 : x
  2. Step 2: Convert to fraction form
    809.09/1,213.79 = 398.12/x
  3. Step 3: Cross multiply
    809.09x = 1,213.79 × 398.12
  4. Step 4: Simplify right side
    809.09x = 483,226.02
  5. Step 5: Solve for x
    x = 483,226.02/809.09
  6. Step 6: Final answer
    x = 597.25

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1.5x scale

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.