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Finding the Fourth Proportional to 1,422.01, 2,133.22 and 448.19

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Solution

The fourth proportional to 1,422.01, 2,133.22 and 448.19 is: 672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.01 : 2,133.22 = 448.19 : x
  2. Step 2: Convert to fraction form
    1,422.01/2,133.22 = 448.19/x
  3. Step 3: Cross multiply
    1,422.01x = 2,133.22 × 448.19
  4. Step 4: Simplify right side
    1,422.01x = 956,087.87
  5. Step 5: Solve for x
    x = 956,087.87/1,422.01
  6. Step 6: Final answer
    x = 672.35

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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.