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Finding the Fourth Proportional to 571.46, 855.67 and 389.21

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Solution

The fourth proportional to 571.46, 855.67 and 389.21 is: 582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.46 : 855.67 = 389.21 : x
  2. Step 2: Convert to fraction form
    571.46/855.67 = 389.21/x
  3. Step 3: Cross multiply
    571.46x = 855.67 × 389.21
  4. Step 4: Simplify right side
    571.46x = 333,035.32
  5. Step 5: Solve for x
    x = 333,035.32/571.46
  6. Step 6: Final answer
    x = 582.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.