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Finding the Fourth Proportional to 806.67, 1,112.90 and 544.23

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Solution

The fourth proportional to 806.67, 1,112.90 and 544.23 is: 750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.67 : 1,112.90 = 544.23 : x
  2. Step 2: Convert to fraction form
    806.67/1,112.90 = 544.23/x
  3. Step 3: Cross multiply
    806.67x = 1,112.90 × 544.23
  4. Step 4: Simplify right side
    806.67x = 605,670.85
  5. Step 5: Solve for x
    x = 605,670.85/806.67
  6. Step 6: Final answer
    x = 750.83

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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.