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Finding the Fourth Proportional to 1,393.50, 2,090.31 and 419.61

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Solution

The fourth proportional to 1,393.50, 2,090.31 and 419.61 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.50 : 2,090.31 = 419.61 : x
  2. Step 2: Convert to fraction form
    1,393.50/2,090.31 = 419.61/x
  3. Step 3: Cross multiply
    1,393.50x = 2,090.31 × 419.61
  4. Step 4: Simplify right side
    1,393.50x = 877,114.98
  5. Step 5: Solve for x
    x = 877,114.98/1,393.50
  6. Step 6: Final answer
    x = 629.43

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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.