Home / 1,199.30-1,799.22-469.09

Finding the Fourth Proportional to 1,199.30, 1,799.22 and 469.09

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Solution

The fourth proportional to 1,199.30, 1,799.22 and 469.09 is: 703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.30 : 1,799.22 = 469.09 : x
  2. Step 2: Convert to fraction form
    1,199.30/1,799.22 = 469.09/x
  3. Step 3: Cross multiply
    1,199.30x = 1,799.22 × 469.09
  4. Step 4: Simplify right side
    1,199.30x = 843,984.77
  5. Step 5: Solve for x
    x = 843,984.77/1,199.30
  6. Step 6: Final answer
    x = 703.73

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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.