Home / 1,447.26-2,170.71-407.22

Finding the Fourth Proportional to 1,447.26, 2,170.71 and 407.22

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Solution

The fourth proportional to 1,447.26, 2,170.71 and 407.22 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.26 : 2,170.71 = 407.22 : x
  2. Step 2: Convert to fraction form
    1,447.26/2,170.71 = 407.22/x
  3. Step 3: Cross multiply
    1,447.26x = 2,170.71 × 407.22
  4. Step 4: Simplify right side
    1,447.26x = 883,956.53
  5. Step 5: Solve for x
    x = 883,956.53/1,447.26
  6. Step 6: Final answer
    x = 610.78

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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.