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Finding the Fourth Proportional to 619.42, 855.04 and 464.62

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Solution

The fourth proportional to 619.42, 855.04 and 464.62 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.42 : 855.04 = 464.62 : x
  2. Step 2: Convert to fraction form
    619.42/855.04 = 464.62/x
  3. Step 3: Cross multiply
    619.42x = 855.04 × 464.62
  4. Step 4: Simplify right side
    619.42x = 397,268.68
  5. Step 5: Solve for x
    x = 397,268.68/619.42
  6. Step 6: Final answer
    x = 641.36

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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.