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Finding the Fourth Proportional to 413.74, 571.37 and 374.86

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Solution

The fourth proportional to 413.74, 571.37 and 374.86 is: 517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 571.37 = 374.86 : x
  2. Step 2: Convert to fraction form
    413.74/571.37 = 374.86/x
  3. Step 3: Cross multiply
    413.74x = 571.37 × 374.86
  4. Step 4: Simplify right side
    413.74x = 214,181.88
  5. Step 5: Solve for x
    x = 214,181.88/413.74
  6. Step 6: Final answer
    x = 517.67

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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.