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Finding the Fourth Proportional to 806.56, 1,216.31 and 795.62

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Solution

The fourth proportional to 806.56, 1,216.31 and 795.62 is: 1,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.56 : 1,216.31 = 795.62 : x
  2. Step 2: Convert to fraction form
    806.56/1,216.31 = 795.62/x
  3. Step 3: Cross multiply
    806.56x = 1,216.31 × 795.62
  4. Step 4: Simplify right side
    806.56x = 967,719.62
  5. Step 5: Solve for x
    x = 967,719.62/806.56
  6. Step 6: Final answer
    x = 1,199.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.