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Finding the Fourth Proportional to 571.75, 788.95 and 319.64

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Solution

The fourth proportional to 571.75, 788.95 and 319.64 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 788.95 = 319.64 : x
  2. Step 2: Convert to fraction form
    571.75/788.95 = 319.64/x
  3. Step 3: Cross multiply
    571.75x = 788.95 × 319.64
  4. Step 4: Simplify right side
    571.75x = 252,179.98
  5. Step 5: Solve for x
    x = 252,179.98/571.75
  6. Step 6: Final answer
    x = 441.07

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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.