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Finding the Fourth Proportional to 413.67, 619.93 and 321.95

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Solution

The fourth proportional to 413.67, 619.93 and 321.95 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 619.93 = 321.95 : x
  2. Step 2: Convert to fraction form
    413.67/619.93 = 321.95/x
  3. Step 3: Cross multiply
    413.67x = 619.93 × 321.95
  4. Step 4: Simplify right side
    413.67x = 199,586.46
  5. Step 5: Solve for x
    x = 199,586.46/413.67
  6. Step 6: Final answer
    x = 482.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.