Home / 1,422.32-2,133.21-448.16

Finding the Fourth Proportional to 1,422.32, 2,133.21 and 448.16

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Solution

The fourth proportional to 1,422.32, 2,133.21 and 448.16 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.32 : 2,133.21 = 448.16 : x
  2. Step 2: Convert to fraction form
    1,422.32/2,133.21 = 448.16/x
  3. Step 3: Cross multiply
    1,422.32x = 2,133.21 × 448.16
  4. Step 4: Simplify right side
    1,422.32x = 956,019.39
  5. Step 5: Solve for x
    x = 956,019.39/1,422.32
  6. Step 6: Final answer
    x = 672.15

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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.