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Finding the Fourth Proportional to 806.81, 1,208.86 and 776.43

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Solution

The fourth proportional to 806.81, 1,208.86 and 776.43 is: 1,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.81 : 1,208.86 = 776.43 : x
  2. Step 2: Convert to fraction form
    806.81/1,208.86 = 776.43/x
  3. Step 3: Cross multiply
    806.81x = 1,208.86 × 776.43
  4. Step 4: Simplify right side
    806.81x = 938,593.23
  5. Step 5: Solve for x
    x = 938,593.23/806.81
  6. Step 6: Final answer
    x = 1,163.35

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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.