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Finding the Fourth Proportional to 1,609, 2,413.50 and 454.78

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Solution

The fourth proportional to 1,609, 2,413.50 and 454.78 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609 : 2,413.50 = 454.78 : x
  2. Step 2: Convert to fraction form
    1,609/2,413.50 = 454.78/x
  3. Step 3: Cross multiply
    1,609x = 2,413.50 × 454.78
  4. Step 4: Simplify right side
    1,609x = 1,097,611.53
  5. Step 5: Solve for x
    x = 1,097,611.53/1,609
  6. Step 6: Final answer
    x = 682.17

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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.