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Finding the Fourth Proportional to 571.85, 788.82 and 394.54

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Solution

The fourth proportional to 571.85, 788.82 and 394.54 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.85 : 788.82 = 394.54 : x
  2. Step 2: Convert to fraction form
    571.85/788.82 = 394.54/x
  3. Step 3: Cross multiply
    571.85x = 788.82 × 394.54
  4. Step 4: Simplify right side
    571.85x = 311,217.10
  5. Step 5: Solve for x
    x = 311,217.10/571.85
  6. Step 6: Final answer
    x = 544.23

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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.