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Finding the Fourth Proportional to 806.66, 1,208.90 and 513.69

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Solution

The fourth proportional to 806.66, 1,208.90 and 513.69 is: 769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.66 : 1,208.90 = 513.69 : x
  2. Step 2: Convert to fraction form
    806.66/1,208.90 = 513.69/x
  3. Step 3: Cross multiply
    806.66x = 1,208.90 × 513.69
  4. Step 4: Simplify right side
    806.66x = 620,997.27
  5. Step 5: Solve for x
    x = 620,997.27/806.66
  6. Step 6: Final answer
    x = 769.84

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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.