Home / 1,192.89-1,788.60-412.71

Finding the Fourth Proportional to 1,192.89, 1,788.60 and 412.71

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Solution

The fourth proportional to 1,192.89, 1,788.60 and 412.71 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.89 : 1,788.60 = 412.71 : x
  2. Step 2: Convert to fraction form
    1,192.89/1,788.60 = 412.71/x
  3. Step 3: Cross multiply
    1,192.89x = 1,788.60 × 412.71
  4. Step 4: Simplify right side
    1,192.89x = 738,173.11
  5. Step 5: Solve for x
    x = 738,173.11/1,192.89
  6. Step 6: Final answer
    x = 618.81

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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.