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Finding the Fourth Proportional to 806.73, 1,114.05 and 776.64

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Solution

The fourth proportional to 806.73, 1,114.05 and 776.64 is: 1,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.73 : 1,114.05 = 776.64 : x
  2. Step 2: Convert to fraction form
    806.73/1,114.05 = 776.64/x
  3. Step 3: Cross multiply
    806.73x = 1,114.05 × 776.64
  4. Step 4: Simplify right side
    806.73x = 865,215.79
  5. Step 5: Solve for x
    x = 865,215.79/806.73
  6. Step 6: Final answer
    x = 1,072.50

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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.