Home / 1,282.07-1,923.47-416.45

Finding the Fourth Proportional to 1,282.07, 1,923.47 and 416.45

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Solution

The fourth proportional to 1,282.07, 1,923.47 and 416.45 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.07 : 1,923.47 = 416.45 : x
  2. Step 2: Convert to fraction form
    1,282.07/1,923.47 = 416.45/x
  3. Step 3: Cross multiply
    1,282.07x = 1,923.47 × 416.45
  4. Step 4: Simplify right side
    1,282.07x = 801,029.08
  5. Step 5: Solve for x
    x = 801,029.08/1,282.07
  6. Step 6: Final answer
    x = 624.79

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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.