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Finding the Fourth Proportional to 905.84, 1,249.47 and 622.12

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Solution

The fourth proportional to 905.84, 1,249.47 and 622.12 is: 858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,249.47 = 622.12 : x
  2. Step 2: Convert to fraction form
    905.84/1,249.47 = 622.12/x
  3. Step 3: Cross multiply
    905.84x = 1,249.47 × 622.12
  4. Step 4: Simplify right side
    905.84x = 777,314.81
  5. Step 5: Solve for x
    x = 777,314.81/905.84
  6. Step 6: Final answer
    x = 858.12

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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.