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Finding the Fourth Proportional to 619.94, 850.43 and 582.68

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Solution

The fourth proportional to 619.94, 850.43 and 582.68 is: 799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.94 : 850.43 = 582.68 : x
  2. Step 2: Convert to fraction form
    619.94/850.43 = 582.68/x
  3. Step 3: Cross multiply
    619.94x = 850.43 × 582.68
  4. Step 4: Simplify right side
    619.94x = 495,528.55
  5. Step 5: Solve for x
    x = 495,528.55/619.94
  6. Step 6: Final answer
    x = 799.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.