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Finding the Fourth Proportional to 1,788.40, 2,682.54 and 813.80

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Solution

The fourth proportional to 1,788.40, 2,682.54 and 813.80 is: 1,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.40 : 2,682.54 = 813.80 : x
  2. Step 2: Convert to fraction form
    1,788.40/2,682.54 = 813.80/x
  3. Step 3: Cross multiply
    1,788.40x = 2,682.54 × 813.80
  4. Step 4: Simplify right side
    1,788.40x = 2,183,051.05
  5. Step 5: Solve for x
    x = 2,183,051.05/1,788.40
  6. Step 6: Final answer
    x = 1,220.67

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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.