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Finding the Fourth Proportional to 1,327.21, 1,991.42 and 596.39

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Solution

The fourth proportional to 1,327.21, 1,991.42 and 596.39 is: 894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.21 : 1,991.42 = 596.39 : x
  2. Step 2: Convert to fraction form
    1,327.21/1,991.42 = 596.39/x
  3. Step 3: Cross multiply
    1,327.21x = 1,991.42 × 596.39
  4. Step 4: Simplify right side
    1,327.21x = 1,187,652.27
  5. Step 5: Solve for x
    x = 1,187,652.27/1,327.21
  6. Step 6: Final answer
    x = 894.85

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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.