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Finding the Fourth Proportional to 443.08, 667.95 and 413.36

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Solution

The fourth proportional to 443.08, 667.95 and 413.36 is: 623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 667.95 = 413.36 : x
  2. Step 2: Convert to fraction form
    443.08/667.95 = 413.36/x
  3. Step 3: Cross multiply
    443.08x = 667.95 × 413.36
  4. Step 4: Simplify right side
    443.08x = 276,103.81
  5. Step 5: Solve for x
    x = 276,103.81/443.08
  6. Step 6: Final answer
    x = 623.15

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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.