Home / 1,422.12-2,132.51-447.69

Finding the Fourth Proportional to 1,422.12, 2,132.51 and 447.69

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Solution

The fourth proportional to 1,422.12, 2,132.51 and 447.69 is: 671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.12 : 2,132.51 = 447.69 : x
  2. Step 2: Convert to fraction form
    1,422.12/2,132.51 = 447.69/x
  3. Step 3: Cross multiply
    1,422.12x = 2,132.51 × 447.69
  4. Step 4: Simplify right side
    1,422.12x = 954,701.16
  5. Step 5: Solve for x
    x = 954,701.16/1,422.12
  6. Step 6: Final answer
    x = 671.32

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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.