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Finding the Fourth Proportional to 884.56, 1,327.80 and 559.12

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Solution

The fourth proportional to 884.56, 1,327.80 and 559.12 is: 839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.56 : 1,327.80 = 559.12 : x
  2. Step 2: Convert to fraction form
    884.56/1,327.80 = 559.12/x
  3. Step 3: Cross multiply
    884.56x = 1,327.80 × 559.12
  4. Step 4: Simplify right side
    884.56x = 742,399.54
  5. Step 5: Solve for x
    x = 742,399.54/884.56
  6. Step 6: Final answer
    x = 839.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.