Home / 1,188.20-1,782.30-799.40

Finding the Fourth Proportional to 1,188.20, 1,782.30 and 799.40

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Solution

The fourth proportional to 1,188.20, 1,782.30 and 799.40 is: 1,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.20 : 1,782.30 = 799.40 : x
  2. Step 2: Convert to fraction form
    1,188.20/1,782.30 = 799.40/x
  3. Step 3: Cross multiply
    1,188.20x = 1,782.30 × 799.40
  4. Step 4: Simplify right side
    1,188.20x = 1,424,770.62
  5. Step 5: Solve for x
    x = 1,424,770.62/1,188.20
  6. Step 6: Final answer
    x = 1,199.10

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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.