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Finding the Fourth Proportional to 449.54, 673.87 and 413.09

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Solution

The fourth proportional to 449.54, 673.87 and 413.09 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 673.87 = 413.09 : x
  2. Step 2: Convert to fraction form
    449.54/673.87 = 413.09/x
  3. Step 3: Cross multiply
    449.54x = 673.87 × 413.09
  4. Step 4: Simplify right side
    449.54x = 278,368.96
  5. Step 5: Solve for x
    x = 278,368.96/449.54
  6. Step 6: Final answer
    x = 619.23

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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.