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Finding the Fourth Proportional to 1,422.26, 2,133.39 and 448.45

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Solution

The fourth proportional to 1,422.26, 2,133.39 and 448.45 is: 672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.26 : 2,133.39 = 448.45 : x
  2. Step 2: Convert to fraction form
    1,422.26/2,133.39 = 448.45/x
  3. Step 3: Cross multiply
    1,422.26x = 2,133.39 × 448.45
  4. Step 4: Simplify right side
    1,422.26x = 956,718.75
  5. Step 5: Solve for x
    x = 956,718.75/1,422.26
  6. Step 6: Final answer
    x = 672.68

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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.