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Finding the Fourth Proportional to 571.78, 856.05 and 388.90

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Solution

The fourth proportional to 571.78, 856.05 and 388.90 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.78 : 856.05 = 388.90 : x
  2. Step 2: Convert to fraction form
    571.78/856.05 = 388.90/x
  3. Step 3: Cross multiply
    571.78x = 856.05 × 388.90
  4. Step 4: Simplify right side
    571.78x = 332,917.85
  5. Step 5: Solve for x
    x = 332,917.85/571.78
  6. Step 6: Final answer
    x = 582.25

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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.