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Finding the Fourth Proportional to 1,343.67, 2,015.37 and 419.19

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Solution

The fourth proportional to 1,343.67, 2,015.37 and 419.19 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.67 : 2,015.37 = 419.19 : x
  2. Step 2: Convert to fraction form
    1,343.67/2,015.37 = 419.19/x
  3. Step 3: Cross multiply
    1,343.67x = 2,015.37 × 419.19
  4. Step 4: Simplify right side
    1,343.67x = 844,822.95
  5. Step 5: Solve for x
    x = 844,822.95/1,343.67
  6. Step 6: Final answer
    x = 628.74

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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.