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Finding the Fourth Proportional to 571.23, 788.30 and 361.78

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Solution

The fourth proportional to 571.23, 788.30 and 361.78 is: 499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 788.30 = 361.78 : x
  2. Step 2: Convert to fraction form
    571.23/788.30 = 361.78/x
  3. Step 3: Cross multiply
    571.23x = 788.30 × 361.78
  4. Step 4: Simplify right side
    571.23x = 285,188.75
  5. Step 5: Solve for x
    x = 285,188.75/571.23
  6. Step 6: Final answer
    x = 499.25

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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.