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Finding the Fourth Proportional to 608.87, 913.91 and 413.88

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Solution

The fourth proportional to 608.87, 913.91 and 413.88 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.87 : 913.91 = 413.88 : x
  2. Step 2: Convert to fraction form
    608.87/913.91 = 413.88/x
  3. Step 3: Cross multiply
    608.87x = 913.91 × 413.88
  4. Step 4: Simplify right side
    608.87x = 378,247.00
  5. Step 5: Solve for x
    x = 378,247.00/608.87
  6. Step 6: Final answer
    x = 621.23

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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.