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Finding the Fourth Proportional to 571.95, 789.80 and 415.44

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Solution

The fourth proportional to 571.95, 789.80 and 415.44 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.95 : 789.80 = 415.44 : x
  2. Step 2: Convert to fraction form
    571.95/789.80 = 415.44/x
  3. Step 3: Cross multiply
    571.95x = 789.80 × 415.44
  4. Step 4: Simplify right side
    571.95x = 328,112.43
  5. Step 5: Solve for x
    x = 328,112.43/571.95
  6. Step 6: Final answer
    x = 573.67

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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.