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Finding the Fourth Proportional to 443.82, 665.13 and 413.10

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Solution

The fourth proportional to 443.82, 665.13 and 413.10 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.82 : 665.13 = 413.10 : x
  2. Step 2: Convert to fraction form
    443.82/665.13 = 413.10/x
  3. Step 3: Cross multiply
    443.82x = 665.13 × 413.10
  4. Step 4: Simplify right side
    443.82x = 274,765.20
  5. Step 5: Solve for x
    x = 274,765.20/443.82
  6. Step 6: Final answer
    x = 619.09

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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.