Home / 1,447.26-2,170.72-407.34

Finding the Fourth Proportional to 1,447.26, 2,170.72 and 407.34

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Solution

The fourth proportional to 1,447.26, 2,170.72 and 407.34 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.26 : 2,170.72 = 407.34 : x
  2. Step 2: Convert to fraction form
    1,447.26/2,170.72 = 407.34/x
  3. Step 3: Cross multiply
    1,447.26x = 2,170.72 × 407.34
  4. Step 4: Simplify right side
    1,447.26x = 884,220.07
  5. Step 5: Solve for x
    x = 884,220.07/1,447.26
  6. Step 6: Final answer
    x = 610.96

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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.