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Finding the Fourth Proportional to 619.44, 849.75 and 582.18

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Solution

The fourth proportional to 619.44, 849.75 and 582.18 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.44 : 849.75 = 582.18 : x
  2. Step 2: Convert to fraction form
    619.44/849.75 = 582.18/x
  3. Step 3: Cross multiply
    619.44x = 849.75 × 582.18
  4. Step 4: Simplify right side
    619.44x = 494,707.46
  5. Step 5: Solve for x
    x = 494,707.46/619.44
  6. Step 6: Final answer
    x = 798.64

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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.