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Finding the Fourth Proportional to 577.56, 796.92 and 344.76

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Solution

The fourth proportional to 577.56, 796.92 and 344.76 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 796.92 = 344.76 : x
  2. Step 2: Convert to fraction form
    577.56/796.92 = 344.76/x
  3. Step 3: Cross multiply
    577.56x = 796.92 × 344.76
  4. Step 4: Simplify right side
    577.56x = 274,746.14
  5. Step 5: Solve for x
    x = 274,746.14/577.56
  6. Step 6: Final answer
    x = 475.70

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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.