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Finding the Fourth Proportional to 1,393.89, 2,090.91 and 419.89

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Solution

The fourth proportional to 1,393.89, 2,090.91 and 419.89 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.89 : 2,090.91 = 419.89 : x
  2. Step 2: Convert to fraction form
    1,393.89/2,090.91 = 419.89/x
  3. Step 3: Cross multiply
    1,393.89x = 2,090.91 × 419.89
  4. Step 4: Simplify right side
    1,393.89x = 877,940.70
  5. Step 5: Solve for x
    x = 877,940.70/1,393.89
  6. Step 6: Final answer
    x = 629.85

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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.