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Finding the Fourth Proportional to 571.90, 789.22 and 309.91

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Solution

The fourth proportional to 571.90, 789.22 and 309.91 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.90 : 789.22 = 309.91 : x
  2. Step 2: Convert to fraction form
    571.90/789.22 = 309.91/x
  3. Step 3: Cross multiply
    571.90x = 789.22 × 309.91
  4. Step 4: Simplify right side
    571.90x = 244,590.33
  5. Step 5: Solve for x
    x = 244,590.33/571.90
  6. Step 6: Final answer
    x = 427.68

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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.