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Finding the Fourth Proportional to 571.72, 788.97 and 309.74

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Solution

The fourth proportional to 571.72, 788.97 and 309.74 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.72 : 788.97 = 309.74 : x
  2. Step 2: Convert to fraction form
    571.72/788.97 = 309.74/x
  3. Step 3: Cross multiply
    571.72x = 788.97 × 309.74
  4. Step 4: Simplify right side
    571.72x = 244,371.62
  5. Step 5: Solve for x
    x = 244,371.62/571.72
  6. Step 6: Final answer
    x = 427.43

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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.