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Finding the Fourth Proportional to 571.44, 788.62 and 322.80

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Solution

The fourth proportional to 571.44, 788.62 and 322.80 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 788.62 = 322.80 : x
  2. Step 2: Convert to fraction form
    571.44/788.62 = 322.80/x
  3. Step 3: Cross multiply
    571.44x = 788.62 × 322.80
  4. Step 4: Simplify right side
    571.44x = 254,566.54
  5. Step 5: Solve for x
    x = 254,566.54/571.44
  6. Step 6: Final answer
    x = 445.48

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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.