Home / 1,337.19-2,005.97-412.82

Finding the Fourth Proportional to 1,337.19, 2,005.97 and 412.82

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Solution

The fourth proportional to 1,337.19, 2,005.97 and 412.82 is: 619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.19 : 2,005.97 = 412.82 : x
  2. Step 2: Convert to fraction form
    1,337.19/2,005.97 = 412.82/x
  3. Step 3: Cross multiply
    1,337.19x = 2,005.97 × 412.82
  4. Step 4: Simplify right side
    1,337.19x = 828,104.54
  5. Step 5: Solve for x
    x = 828,104.54/1,337.19
  6. Step 6: Final answer
    x = 619.29

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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.