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Finding the Fourth Proportional to 1,199.58, 1,656.41 and 1,138.43

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Solution

The fourth proportional to 1,199.58, 1,656.41 and 1,138.43 is: 1,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.58 : 1,656.41 = 1,138.43 : x
  2. Step 2: Convert to fraction form
    1,199.58/1,656.41 = 1,138.43/x
  3. Step 3: Cross multiply
    1,199.58x = 1,656.41 × 1,138.43
  4. Step 4: Simplify right side
    1,199.58x = 1,885,692.86
  5. Step 5: Solve for x
    x = 1,885,692.86/1,199.58
  6. Step 6: Final answer
    x = 1,571.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.