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Finding the Fourth Proportional to 806.16, 1,201.30 and 762

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Solution

The fourth proportional to 806.16, 1,201.30 and 762 is: 1,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,201.30 = 762 : x
  2. Step 2: Convert to fraction form
    806.16/1,201.30 = 762/x
  3. Step 3: Cross multiply
    806.16x = 1,201.30 × 762
  4. Step 4: Simplify right side
    806.16x = 915,390.60
  5. Step 5: Solve for x
    x = 915,390.60/806.16
  6. Step 6: Final answer
    x = 1,135.49

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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.