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Finding the Fourth Proportional to 576.45, 794.77 and 418.96

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Solution

The fourth proportional to 576.45, 794.77 and 418.96 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 794.77 = 418.96 : x
  2. Step 2: Convert to fraction form
    576.45/794.77 = 418.96/x
  3. Step 3: Cross multiply
    576.45x = 794.77 × 418.96
  4. Step 4: Simplify right side
    576.45x = 332,976.84
  5. Step 5: Solve for x
    x = 332,976.84/576.45
  6. Step 6: Final answer
    x = 577.63

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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.