Home / 1,447.35-2,170.57-407.28

Finding the Fourth Proportional to 1,447.35, 2,170.57 and 407.28

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Solution

The fourth proportional to 1,447.35, 2,170.57 and 407.28 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.35 : 2,170.57 = 407.28 : x
  2. Step 2: Convert to fraction form
    1,447.35/2,170.57 = 407.28/x
  3. Step 3: Cross multiply
    1,447.35x = 2,170.57 × 407.28
  4. Step 4: Simplify right side
    1,447.35x = 884,029.75
  5. Step 5: Solve for x
    x = 884,029.75/1,447.35
  6. Step 6: Final answer
    x = 610.79

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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.