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Finding the Fourth Proportional to 1,609.12, 2,413.54 and 454.87

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Solution

The fourth proportional to 1,609.12, 2,413.54 and 454.87 is: 682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.12 : 2,413.54 = 454.87 : x
  2. Step 2: Convert to fraction form
    1,609.12/2,413.54 = 454.87/x
  3. Step 3: Cross multiply
    1,609.12x = 2,413.54 × 454.87
  4. Step 4: Simplify right side
    1,609.12x = 1,097,846.94
  5. Step 5: Solve for x
    x = 1,097,846.94/1,609.12
  6. Step 6: Final answer
    x = 682.27

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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.