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Finding the Fourth Proportional to 443.58, 668.71 and 413.86

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Solution

The fourth proportional to 443.58, 668.71 and 413.86 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.58 : 668.71 = 413.86 : x
  2. Step 2: Convert to fraction form
    443.58/668.71 = 413.86/x
  3. Step 3: Cross multiply
    443.58x = 668.71 × 413.86
  4. Step 4: Simplify right side
    443.58x = 276,750.25
  5. Step 5: Solve for x
    x = 276,750.25/443.58
  6. Step 6: Final answer
    x = 623.90

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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.