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Finding the Fourth Proportional to 559.23, 771.80 and 338.28

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Solution

The fourth proportional to 559.23, 771.80 and 338.28 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 771.80 = 338.28 : x
  2. Step 2: Convert to fraction form
    559.23/771.80 = 338.28/x
  3. Step 3: Cross multiply
    559.23x = 771.80 × 338.28
  4. Step 4: Simplify right side
    559.23x = 261,082.81
  5. Step 5: Solve for x
    x = 261,082.81/559.23
  6. Step 6: Final answer
    x = 466.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.