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Finding the Fourth Proportional to 577.37, 796.76 and 344.45

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Solution

The fourth proportional to 577.37, 796.76 and 344.45 is: 475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.37 : 796.76 = 344.45 : x
  2. Step 2: Convert to fraction form
    577.37/796.76 = 344.45/x
  3. Step 3: Cross multiply
    577.37x = 796.76 × 344.45
  4. Step 4: Simplify right side
    577.37x = 274,438.28
  5. Step 5: Solve for x
    x = 274,438.28/577.37
  6. Step 6: Final answer
    x = 475.33

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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.