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Finding the Fourth Proportional to 449.01, 673.52 and 413.78

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Solution

The fourth proportional to 449.01, 673.52 and 413.78 is: 620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.01 : 673.52 = 413.78 : x
  2. Step 2: Convert to fraction form
    449.01/673.52 = 413.78/x
  3. Step 3: Cross multiply
    449.01x = 673.52 × 413.78
  4. Step 4: Simplify right side
    449.01x = 278,683.67
  5. Step 5: Solve for x
    x = 278,683.67/449.01
  6. Step 6: Final answer
    x = 620.66

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