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Finding the Fourth Proportional to 1,393.19, 2,089.78 and 419.37

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Solution

The fourth proportional to 1,393.19, 2,089.78 and 419.37 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.19 : 2,089.78 = 419.37 : x
  2. Step 2: Convert to fraction form
    1,393.19/2,089.78 = 419.37/x
  3. Step 3: Cross multiply
    1,393.19x = 2,089.78 × 419.37
  4. Step 4: Simplify right side
    1,393.19x = 876,391.04
  5. Step 5: Solve for x
    x = 876,391.04/1,393.19
  6. Step 6: Final answer
    x = 629.05

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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.