Home / 1,393.20-2,089.14-419.07

Finding the Fourth Proportional to 1,393.20, 2,089.14 and 419.07

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Solution

The fourth proportional to 1,393.20, 2,089.14 and 419.07 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.20 : 2,089.14 = 419.07 : x
  2. Step 2: Convert to fraction form
    1,393.20/2,089.14 = 419.07/x
  3. Step 3: Cross multiply
    1,393.20x = 2,089.14 × 419.07
  4. Step 4: Simplify right side
    1,393.20x = 875,504.52
  5. Step 5: Solve for x
    x = 875,504.52/1,393.20
  6. Step 6: Final answer
    x = 628.41

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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.