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Finding the Fourth Proportional to 444.34, 669.89 and 413.02

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Solution

The fourth proportional to 444.34, 669.89 and 413.02 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.34 : 669.89 = 413.02 : x
  2. Step 2: Convert to fraction form
    444.34/669.89 = 413.02/x
  3. Step 3: Cross multiply
    444.34x = 669.89 × 413.02
  4. Step 4: Simplify right side
    444.34x = 276,677.97
  5. Step 5: Solve for x
    x = 276,677.97/444.34
  6. Step 6: Final answer
    x = 622.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.