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Finding the Fourth Proportional to 805.56, 1,208.34 and 419.64

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Solution

The fourth proportional to 805.56, 1,208.34 and 419.64 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.56 : 1,208.34 = 419.64 : x
  2. Step 2: Convert to fraction form
    805.56/1,208.34 = 419.64/x
  3. Step 3: Cross multiply
    805.56x = 1,208.34 × 419.64
  4. Step 4: Simplify right side
    805.56x = 507,067.80
  5. Step 5: Solve for x
    x = 507,067.80/805.56
  6. Step 6: Final answer
    x = 629.46

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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.