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Finding the Fourth Proportional to 884.96, 1,221.36 and 605.48

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Solution

The fourth proportional to 884.96, 1,221.36 and 605.48 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.96 : 1,221.36 = 605.48 : x
  2. Step 2: Convert to fraction form
    884.96/1,221.36 = 605.48/x
  3. Step 3: Cross multiply
    884.96x = 1,221.36 × 605.48
  4. Step 4: Simplify right side
    884.96x = 739,509.05
  5. Step 5: Solve for x
    x = 739,509.05/884.96
  6. Step 6: Final answer
    x = 835.64

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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.