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Finding the Fourth Proportional to 442.84, 667.57 and 413.10

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Solution

The fourth proportional to 442.84, 667.57 and 413.10 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 667.57 = 413.10 : x
  2. Step 2: Convert to fraction form
    442.84/667.57 = 413.10/x
  3. Step 3: Cross multiply
    442.84x = 667.57 × 413.10
  4. Step 4: Simplify right side
    442.84x = 275,776.96
  5. Step 5: Solve for x
    x = 275,776.96/442.84
  6. Step 6: Final answer
    x = 622.75

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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.