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Finding the Fourth Proportional to 664.97, 919.62 and 581.94

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Solution

The fourth proportional to 664.97, 919.62 and 581.94 is: 804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.97 : 919.62 = 581.94 : x
  2. Step 2: Convert to fraction form
    664.97/919.62 = 581.94/x
  3. Step 3: Cross multiply
    664.97x = 919.62 × 581.94
  4. Step 4: Simplify right side
    664.97x = 535,163.66
  5. Step 5: Solve for x
    x = 535,163.66/664.97
  6. Step 6: Final answer
    x = 804.80

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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.