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Finding the Fourth Proportional to 577.44, 797.64 and 494.28

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Solution

The fourth proportional to 577.44, 797.64 and 494.28 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 797.64 = 494.28 : x
  2. Step 2: Convert to fraction form
    577.44/797.64 = 494.28/x
  3. Step 3: Cross multiply
    577.44x = 797.64 × 494.28
  4. Step 4: Simplify right side
    577.44x = 394,257.50
  5. Step 5: Solve for x
    x = 394,257.50/577.44
  6. Step 6: Final answer
    x = 682.77

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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.