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Finding the Fourth Proportional to 806.06, 1,203.30 and 770.60

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Solution

The fourth proportional to 806.06, 1,203.30 and 770.60 is: 1,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.06 : 1,203.30 = 770.60 : x
  2. Step 2: Convert to fraction form
    806.06/1,203.30 = 770.60/x
  3. Step 3: Cross multiply
    806.06x = 1,203.30 × 770.60
  4. Step 4: Simplify right side
    806.06x = 927,262.98
  5. Step 5: Solve for x
    x = 927,262.98/806.06
  6. Step 6: Final answer
    x = 1,150.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.