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Finding the Fourth Proportional to 571.39, 788.44 and 322.69

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Solution

The fourth proportional to 571.39, 788.44 and 322.69 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.39 : 788.44 = 322.69 : x
  2. Step 2: Convert to fraction form
    571.39/788.44 = 322.69/x
  3. Step 3: Cross multiply
    571.39x = 788.44 × 322.69
  4. Step 4: Simplify right side
    571.39x = 254,421.70
  5. Step 5: Solve for x
    x = 254,421.70/571.39
  6. Step 6: Final answer
    x = 445.27

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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.