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Finding the Fourth Proportional to 806.01, 1,208.16 and 343.41

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Solution

The fourth proportional to 806.01, 1,208.16 and 343.41 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.01 : 1,208.16 = 343.41 : x
  2. Step 2: Convert to fraction form
    806.01/1,208.16 = 343.41/x
  3. Step 3: Cross multiply
    806.01x = 1,208.16 × 343.41
  4. Step 4: Simplify right side
    806.01x = 414,894.23
  5. Step 5: Solve for x
    x = 414,894.23/806.01
  6. Step 6: Final answer
    x = 514.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.