Home / 1,192.04-1,788.14-412.12

Finding the Fourth Proportional to 1,192.04, 1,788.14 and 412.12

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Solution

The fourth proportional to 1,192.04, 1,788.14 and 412.12 is: 618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.04 : 1,788.14 = 412.12 : x
  2. Step 2: Convert to fraction form
    1,192.04/1,788.14 = 412.12/x
  3. Step 3: Cross multiply
    1,192.04x = 1,788.14 × 412.12
  4. Step 4: Simplify right side
    1,192.04x = 736,928.26
  5. Step 5: Solve for x
    x = 736,928.26/1,192.04
  6. Step 6: Final answer
    x = 618.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.