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Finding the Fourth Proportional to 806.27, 1,208.79 and 319.05

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Solution

The fourth proportional to 806.27, 1,208.79 and 319.05 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.27 : 1,208.79 = 319.05 : x
  2. Step 2: Convert to fraction form
    806.27/1,208.79 = 319.05/x
  3. Step 3: Cross multiply
    806.27x = 1,208.79 × 319.05
  4. Step 4: Simplify right side
    806.27x = 385,664.45
  5. Step 5: Solve for x
    x = 385,664.45/806.27
  6. Step 6: Final answer
    x = 478.33

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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.