Home / 1,216.40-1,825.45-486.14

Finding the Fourth Proportional to 1,216.40, 1,825.45 and 486.14

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Solution

The fourth proportional to 1,216.40, 1,825.45 and 486.14 is: 729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.40 : 1,825.45 = 486.14 : x
  2. Step 2: Convert to fraction form
    1,216.40/1,825.45 = 486.14/x
  3. Step 3: Cross multiply
    1,216.40x = 1,825.45 × 486.14
  4. Step 4: Simplify right side
    1,216.40x = 887,413.92
  5. Step 5: Solve for x
    x = 887,413.92/1,216.40
  6. Step 6: Final answer
    x = 729.54

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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.