Home / 1,422.32-2,133.24-448.28

Finding the Fourth Proportional to 1,422.32, 2,133.24 and 448.28

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Solution

The fourth proportional to 1,422.32, 2,133.24 and 448.28 is: 672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.32 : 2,133.24 = 448.28 : x
  2. Step 2: Convert to fraction form
    1,422.32/2,133.24 = 448.28/x
  3. Step 3: Cross multiply
    1,422.32x = 2,133.24 × 448.28
  4. Step 4: Simplify right side
    1,422.32x = 956,288.83
  5. Step 5: Solve for x
    x = 956,288.83/1,422.32
  6. Step 6: Final answer
    x = 672.34

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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.