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Finding the Fourth Proportional to 419.63, 576.48 and 375.96

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Solution

The fourth proportional to 419.63, 576.48 and 375.96 is: 516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 576.48 = 375.96 : x
  2. Step 2: Convert to fraction form
    419.63/576.48 = 375.96/x
  3. Step 3: Cross multiply
    419.63x = 576.48 × 375.96
  4. Step 4: Simplify right side
    419.63x = 216,733.42
  5. Step 5: Solve for x
    x = 216,733.42/419.63
  6. Step 6: Final answer
    x = 516.49

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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.