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Finding the Fourth Proportional to 806.26, 1,112.62 and 438.26

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Solution

The fourth proportional to 806.26, 1,112.62 and 438.26 is: 604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.26 : 1,112.62 = 438.26 : x
  2. Step 2: Convert to fraction form
    806.26/1,112.62 = 438.26/x
  3. Step 3: Cross multiply
    806.26x = 1,112.62 × 438.26
  4. Step 4: Simplify right side
    806.26x = 487,616.84
  5. Step 5: Solve for x
    x = 487,616.84/806.26
  6. Step 6: Final answer
    x = 604.79

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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.