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Finding the Fourth Proportional to 1,609.00, 2,413.60 and 439.02

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Solution

The fourth proportional to 1,609.00, 2,413.60 and 439.02 is: 658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.00 : 2,413.60 = 439.02 : x
  2. Step 2: Convert to fraction form
    1,609.00/2,413.60 = 439.02/x
  3. Step 3: Cross multiply
    1,609.00x = 2,413.60 × 439.02
  4. Step 4: Simplify right side
    1,609.00x = 1,059,617.57
  5. Step 5: Solve for x
    x = 1,059,617.57/1,609.00
  6. Step 6: Final answer
    x = 658.56

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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.