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Finding the Fourth Proportional to 1,169.22, 1,754.12 and 389.20

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Solution

The fourth proportional to 1,169.22, 1,754.12 and 389.20 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.22 : 1,754.12 = 389.20 : x
  2. Step 2: Convert to fraction form
    1,169.22/1,754.12 = 389.20/x
  3. Step 3: Cross multiply
    1,169.22x = 1,754.12 × 389.20
  4. Step 4: Simplify right side
    1,169.22x = 682,703.50
  5. Step 5: Solve for x
    x = 682,703.50/1,169.22
  6. Step 6: Final answer
    x = 583.90

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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.