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Finding the Fourth Proportional to 473.63, 713.24 and 413.49

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Solution

The fourth proportional to 473.63, 713.24 and 413.49 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.63 : 713.24 = 413.49 : x
  2. Step 2: Convert to fraction form
    473.63/713.24 = 413.49/x
  3. Step 3: Cross multiply
    473.63x = 713.24 × 413.49
  4. Step 4: Simplify right side
    473.63x = 294,918.64
  5. Step 5: Solve for x
    x = 294,918.64/473.63
  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.