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Finding the Fourth Proportional to 449.34, 675.62 and 413.70

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Solution

The fourth proportional to 449.34, 675.62 and 413.70 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 675.62 = 413.70 : x
  2. Step 2: Convert to fraction form
    449.34/675.62 = 413.70/x
  3. Step 3: Cross multiply
    449.34x = 675.62 × 413.70
  4. Step 4: Simplify right side
    449.34x = 279,503.99
  5. Step 5: Solve for x
    x = 279,503.99/449.34
  6. Step 6: Final answer
    x = 622.03

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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.