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Finding the Fourth Proportional to 993.08, 1,372.26 and 961.04

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Solution

The fourth proportional to 993.08, 1,372.26 and 961.04 is: 1,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.08 : 1,372.26 = 961.04 : x
  2. Step 2: Convert to fraction form
    993.08/1,372.26 = 961.04/x
  3. Step 3: Cross multiply
    993.08x = 1,372.26 × 961.04
  4. Step 4: Simplify right side
    993.08x = 1,318,796.75
  5. Step 5: Solve for x
    x = 1,318,796.75/993.08
  6. Step 6: Final answer
    x = 1,327.99

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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.