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Finding the Fourth Proportional to 1,289.46, 1,932.23 and 855.06

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Solution

The fourth proportional to 1,289.46, 1,932.23 and 855.06 is: 1,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.46 : 1,932.23 = 855.06 : x
  2. Step 2: Convert to fraction form
    1,289.46/1,932.23 = 855.06/x
  3. Step 3: Cross multiply
    1,289.46x = 1,932.23 × 855.06
  4. Step 4: Simplify right side
    1,289.46x = 1,652,172.58
  5. Step 5: Solve for x
    x = 1,652,172.58/1,289.46
  6. Step 6: Final answer
    x = 1,281.29

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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.