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Finding the Fourth Proportional to 608.62, 913.53 and 413.63

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Solution

The fourth proportional to 608.62, 913.53 and 413.63 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.62 : 913.53 = 413.63 : x
  2. Step 2: Convert to fraction form
    608.62/913.53 = 413.63/x
  3. Step 3: Cross multiply
    608.62x = 913.53 × 413.63
  4. Step 4: Simplify right side
    608.62x = 377,863.41
  5. Step 5: Solve for x
    x = 377,863.41/608.62
  6. Step 6: Final answer
    x = 620.86

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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.