Home / 1,282.19-1,923.29-416.49

Finding the Fourth Proportional to 1,282.19, 1,923.29 and 416.49

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Solution

The fourth proportional to 1,282.19, 1,923.29 and 416.49 is: 624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.19 : 1,923.29 = 416.49 : x
  2. Step 2: Convert to fraction form
    1,282.19/1,923.29 = 416.49/x
  3. Step 3: Cross multiply
    1,282.19x = 1,923.29 × 416.49
  4. Step 4: Simplify right side
    1,282.19x = 801,028.97
  5. Step 5: Solve for x
    x = 801,028.97/1,282.19
  6. Step 6: Final answer
    x = 624.74

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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.