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Finding the Fourth Proportional to 1,191.97, 1,788.12 and 370.09

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Solution

The fourth proportional to 1,191.97, 1,788.12 and 370.09 is: 555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.97 : 1,788.12 = 370.09 : x
  2. Step 2: Convert to fraction form
    1,191.97/1,788.12 = 370.09/x
  3. Step 3: Cross multiply
    1,191.97x = 1,788.12 × 370.09
  4. Step 4: Simplify right side
    1,191.97x = 661,765.33
  5. Step 5: Solve for x
    x = 661,765.33/1,191.97
  6. Step 6: Final answer
    x = 555.19

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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.