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Finding the Fourth Proportional to 571.73, 788.99 and 323.05

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Solution

The fourth proportional to 571.73, 788.99 and 323.05 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.73 : 788.99 = 323.05 : x
  2. Step 2: Convert to fraction form
    571.73/788.99 = 323.05/x
  3. Step 3: Cross multiply
    571.73x = 788.99 × 323.05
  4. Step 4: Simplify right side
    571.73x = 254,883.58
  5. Step 5: Solve for x
    x = 254,883.58/571.73
  6. Step 6: Final answer
    x = 445.81

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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.