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Finding the Fourth Proportional to 423.87, 581.82 and 376.19

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Solution

The fourth proportional to 423.87, 581.82 and 376.19 is: 516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 581.82 = 376.19 : x
  2. Step 2: Convert to fraction form
    423.87/581.82 = 376.19/x
  3. Step 3: Cross multiply
    423.87x = 581.82 × 376.19
  4. Step 4: Simplify right side
    423.87x = 218,874.87
  5. Step 5: Solve for x
    x = 218,874.87/423.87
  6. Step 6: Final answer
    x = 516.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.