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Finding the Fourth Proportional to 571.95, 789.30 and 319.90

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Solution

The fourth proportional to 571.95, 789.30 and 319.90 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.95 : 789.30 = 319.90 : x
  2. Step 2: Convert to fraction form
    571.95/789.30 = 319.90/x
  3. Step 3: Cross multiply
    571.95x = 789.30 × 319.90
  4. Step 4: Simplify right side
    571.95x = 252,497.07
  5. Step 5: Solve for x
    x = 252,497.07/571.95
  6. Step 6: Final answer
    x = 441.47

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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.