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Finding the Fourth Proportional to 806.96, 1,115.44 and 742.39

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Solution

The fourth proportional to 806.96, 1,115.44 and 742.39 is: 1,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,115.44 = 742.39 : x
  2. Step 2: Convert to fraction form
    806.96/1,115.44 = 742.39/x
  3. Step 3: Cross multiply
    806.96x = 1,115.44 × 742.39
  4. Step 4: Simplify right side
    806.96x = 828,086.86
  5. Step 5: Solve for x
    x = 828,086.86/806.96
  6. Step 6: Final answer
    x = 1,026.18

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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.