Home / 1,340.23-2,009.62-415.39

Finding the Fourth Proportional to 1,340.23, 2,009.62 and 415.39

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Solution

The fourth proportional to 1,340.23, 2,009.62 and 415.39 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.23 : 2,009.62 = 415.39 : x
  2. Step 2: Convert to fraction form
    1,340.23/2,009.62 = 415.39/x
  3. Step 3: Cross multiply
    1,340.23x = 2,009.62 × 415.39
  4. Step 4: Simplify right side
    1,340.23x = 834,773.97
  5. Step 5: Solve for x
    x = 834,773.97/1,340.23
  6. Step 6: Final answer
    x = 622.86

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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.