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Finding the Fourth Proportional to 1,289.44, 1,932.90 and 855.64

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Solution

The fourth proportional to 1,289.44, 1,932.90 and 855.64 is: 1,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.44 : 1,932.90 = 855.64 : x
  2. Step 2: Convert to fraction form
    1,289.44/1,932.90 = 855.64/x
  3. Step 3: Cross multiply
    1,289.44x = 1,932.90 × 855.64
  4. Step 4: Simplify right side
    1,289.44x = 1,653,866.56
  5. Step 5: Solve for x
    x = 1,653,866.56/1,289.44
  6. Step 6: Final answer
    x = 1,282.62

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1.5x scale

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.