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Finding the Fourth Proportional to 896.06, 1,342.53 and 622.33

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Solution

The fourth proportional to 896.06, 1,342.53 and 622.33 is: 932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.06 : 1,342.53 = 622.33 : x
  2. Step 2: Convert to fraction form
    896.06/1,342.53 = 622.33/x
  3. Step 3: Cross multiply
    896.06x = 1,342.53 × 622.33
  4. Step 4: Simplify right side
    896.06x = 835,496.69
  5. Step 5: Solve for x
    x = 835,496.69/896.06
  6. Step 6: Final answer
    x = 932.41

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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.