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Finding the Fourth Proportional to 571.67, 856.78 and 388.61

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Solution

The fourth proportional to 571.67, 856.78 and 388.61 is: 582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.67 : 856.78 = 388.61 : x
  2. Step 2: Convert to fraction form
    571.67/856.78 = 388.61/x
  3. Step 3: Cross multiply
    571.67x = 856.78 × 388.61
  4. Step 4: Simplify right side
    571.67x = 332,953.28
  5. Step 5: Solve for x
    x = 332,953.28/571.67
  6. Step 6: Final answer
    x = 582.42

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Why These Related Problems?

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