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Finding the Fourth Proportional to 584.09, 806.07 and 322.13

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Solution

The fourth proportional to 584.09, 806.07 and 322.13 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 806.07 = 322.13 : x
  2. Step 2: Convert to fraction form
    584.09/806.07 = 322.13/x
  3. Step 3: Cross multiply
    584.09x = 806.07 × 322.13
  4. Step 4: Simplify right side
    584.09x = 259,659.33
  5. Step 5: Solve for x
    x = 259,659.33/584.09
  6. Step 6: Final answer
    x = 444.55

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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.