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Finding the Fourth Proportional to 1,393.66, 2,089.86 and 419.50

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Solution

The fourth proportional to 1,393.66, 2,089.86 and 419.50 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.66 : 2,089.86 = 419.50 : x
  2. Step 2: Convert to fraction form
    1,393.66/2,089.86 = 419.50/x
  3. Step 3: Cross multiply
    1,393.66x = 2,089.86 × 419.50
  4. Step 4: Simplify right side
    1,393.66x = 876,696.27
  5. Step 5: Solve for x
    x = 876,696.27/1,393.66
  6. Step 6: Final answer
    x = 629.06

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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.