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Finding the Fourth Proportional to 576.38, 793.98 and 418.56

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Solution

The fourth proportional to 576.38, 793.98 and 418.56 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 793.98 = 418.56 : x
  2. Step 2: Convert to fraction form
    576.38/793.98 = 418.56/x
  3. Step 3: Cross multiply
    576.38x = 793.98 × 418.56
  4. Step 4: Simplify right side
    576.38x = 332,325.29
  5. Step 5: Solve for x
    x = 332,325.29/576.38
  6. Step 6: Final answer
    x = 576.57

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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.