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Finding the Fourth Proportional to 1,128.11, 1,692.16 and 855.86

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Solution

The fourth proportional to 1,128.11, 1,692.16 and 855.86 is: 1,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.11 : 1,692.16 = 855.86 : x
  2. Step 2: Convert to fraction form
    1,128.11/1,692.16 = 855.86/x
  3. Step 3: Cross multiply
    1,128.11x = 1,692.16 × 855.86
  4. Step 4: Simplify right side
    1,128.11x = 1,448,241.46
  5. Step 5: Solve for x
    x = 1,448,241.46/1,128.11
  6. Step 6: Final answer
    x = 1,283.78

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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.