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Finding the Fourth Proportional to 571.46, 788.47 and 394.57

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Solution

The fourth proportional to 571.46, 788.47 and 394.57 is: 544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.46 : 788.47 = 394.57 : x
  2. Step 2: Convert to fraction form
    571.46/788.47 = 394.57/x
  3. Step 3: Cross multiply
    571.46x = 788.47 × 394.57
  4. Step 4: Simplify right side
    571.46x = 311,106.61
  5. Step 5: Solve for x
    x = 311,106.61/571.46
  6. Step 6: Final answer
    x = 544.41

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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.