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Finding the Fourth Proportional to 1,343.78, 2,015.68 and 419.40

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Solution

The fourth proportional to 1,343.78, 2,015.68 and 419.40 is: 629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.78 : 2,015.68 = 419.40 : x
  2. Step 2: Convert to fraction form
    1,343.78/2,015.68 = 419.40/x
  3. Step 3: Cross multiply
    1,343.78x = 2,015.68 × 419.40
  4. Step 4: Simplify right side
    1,343.78x = 845,376.19
  5. Step 5: Solve for x
    x = 845,376.19/1,343.78
  6. Step 6: Final answer
    x = 629.10

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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.