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Finding the Fourth Proportional to 1,226.46, 1,836.55 and 788.19

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Solution

The fourth proportional to 1,226.46, 1,836.55 and 788.19 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.46 : 1,836.55 = 788.19 : x
  2. Step 2: Convert to fraction form
    1,226.46/1,836.55 = 788.19/x
  3. Step 3: Cross multiply
    1,226.46x = 1,836.55 × 788.19
  4. Step 4: Simplify right side
    1,226.46x = 1,447,550.34
  5. Step 5: Solve for x
    x = 1,447,550.34/1,226.46
  6. Step 6: Final answer
    x = 1,180.27

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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.