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Finding the Fourth Proportional to 379.72, 520.25 and 374.92

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Solution

The fourth proportional to 379.72, 520.25 and 374.92 is: 513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.72 : 520.25 = 374.92 : x
  2. Step 2: Convert to fraction form
    379.72/520.25 = 374.92/x
  3. Step 3: Cross multiply
    379.72x = 520.25 × 374.92
  4. Step 4: Simplify right side
    379.72x = 195,052.13
  5. Step 5: Solve for x
    x = 195,052.13/379.72
  6. Step 6: Final answer
    x = 513.67

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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.