Home / 1,447.23-2,170.97-407.24

Finding the Fourth Proportional to 1,447.23, 2,170.97 and 407.24

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Solution

The fourth proportional to 1,447.23, 2,170.97 and 407.24 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.23 : 2,170.97 = 407.24 : x
  2. Step 2: Convert to fraction form
    1,447.23/2,170.97 = 407.24/x
  3. Step 3: Cross multiply
    1,447.23x = 2,170.97 × 407.24
  4. Step 4: Simplify right side
    1,447.23x = 884,105.82
  5. Step 5: Solve for x
    x = 884,105.82/1,447.23
  6. Step 6: Final answer
    x = 610.90

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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.