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Finding the Fourth Proportional to 1,609.44, 2,413.20 and 513.60

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Solution

The fourth proportional to 1,609.44, 2,413.20 and 513.60 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.44 : 2,413.20 = 513.60 : x
  2. Step 2: Convert to fraction form
    1,609.44/2,413.20 = 513.60/x
  3. Step 3: Cross multiply
    1,609.44x = 2,413.20 × 513.60
  4. Step 4: Simplify right side
    1,609.44x = 1,239,419.52
  5. Step 5: Solve for x
    x = 1,239,419.52/1,609.44
  6. Step 6: Final answer
    x = 770.09

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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.