Home / 1,282.12-1,922.46-416.20

Finding the Fourth Proportional to 1,282.12, 1,922.46 and 416.20

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Solution

The fourth proportional to 1,282.12, 1,922.46 and 416.20 is: 624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.12 : 1,922.46 = 416.20 : x
  2. Step 2: Convert to fraction form
    1,282.12/1,922.46 = 416.20/x
  3. Step 3: Cross multiply
    1,282.12x = 1,922.46 × 416.20
  4. Step 4: Simplify right side
    1,282.12x = 800,127.85
  5. Step 5: Solve for x
    x = 800,127.85/1,282.12
  6. Step 6: Final answer
    x = 624.07

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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.