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Finding the Fourth Proportional to 913.25, 1,367.04 and 884.09

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Solution

The fourth proportional to 913.25, 1,367.04 and 884.09 is: 1,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.25 : 1,367.04 = 884.09 : x
  2. Step 2: Convert to fraction form
    913.25/1,367.04 = 884.09/x
  3. Step 3: Cross multiply
    913.25x = 1,367.04 × 884.09
  4. Step 4: Simplify right side
    913.25x = 1,208,586.39
  5. Step 5: Solve for x
    x = 1,208,586.39/913.25
  6. Step 6: Final answer
    x = 1,323.39

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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.