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Finding the Fourth Proportional to 2,226.59, 3,339.84 and 765.75

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Solution

The fourth proportional to 2,226.59, 3,339.84 and 765.75 is: 1,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.59 : 3,339.84 = 765.75 : x
  2. Step 2: Convert to fraction form
    2,226.59/3,339.84 = 765.75/x
  3. Step 3: Cross multiply
    2,226.59x = 3,339.84 × 765.75
  4. Step 4: Simplify right side
    2,226.59x = 2,557,482.48
  5. Step 5: Solve for x
    x = 2,557,482.48/2,226.59
  6. Step 6: Final answer
    x = 1,148.61

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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.