Home / 1,192.23-1,788.57-412.20

Finding the Fourth Proportional to 1,192.23, 1,788.57 and 412.20

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Solution

The fourth proportional to 1,192.23, 1,788.57 and 412.20 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,788.57 = 412.20 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,788.57 = 412.20/x
  3. Step 3: Cross multiply
    1,192.23x = 1,788.57 × 412.20
  4. Step 4: Simplify right side
    1,192.23x = 737,248.55
  5. Step 5: Solve for x
    x = 737,248.55/1,192.23
  6. Step 6: Final answer
    x = 618.38

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1.5x scale

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.