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Finding the Fourth Proportional to 608.60, 910.74 and 413.62

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Solution

The fourth proportional to 608.60, 910.74 and 413.62 is: 618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.60 : 910.74 = 413.62 : x
  2. Step 2: Convert to fraction form
    608.60/910.74 = 413.62/x
  3. Step 3: Cross multiply
    608.60x = 910.74 × 413.62
  4. Step 4: Simplify right side
    608.60x = 376,700.28
  5. Step 5: Solve for x
    x = 376,700.28/608.60
  6. Step 6: Final answer
    x = 618.96

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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.