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Finding the Fourth Proportional to 905.45, 1,350.06 and 889.05

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Solution

The fourth proportional to 905.45, 1,350.06 and 889.05 is: 1,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.45 : 1,350.06 = 889.05 : x
  2. Step 2: Convert to fraction form
    905.45/1,350.06 = 889.05/x
  3. Step 3: Cross multiply
    905.45x = 1,350.06 × 889.05
  4. Step 4: Simplify right side
    905.45x = 1,200,270.84
  5. Step 5: Solve for x
    x = 1,200,270.84/905.45
  6. Step 6: Final answer
    x = 1,325.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.