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Finding the Fourth Proportional to 912.28, 1,367.26 and 583.09

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Solution

The fourth proportional to 912.28, 1,367.26 and 583.09 is: 873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.28 : 1,367.26 = 583.09 : x
  2. Step 2: Convert to fraction form
    912.28/1,367.26 = 583.09/x
  3. Step 3: Cross multiply
    912.28x = 1,367.26 × 583.09
  4. Step 4: Simplify right side
    912.28x = 797,234.65
  5. Step 5: Solve for x
    x = 797,234.65/912.28
  6. Step 6: Final answer
    x = 873.89

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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.