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Finding the Fourth Proportional to 1,199.08, 1,654.50 and 694.92

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Solution

The fourth proportional to 1,199.08, 1,654.50 and 694.92 is: 958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.08 : 1,654.50 = 694.92 : x
  2. Step 2: Convert to fraction form
    1,199.08/1,654.50 = 694.92/x
  3. Step 3: Cross multiply
    1,199.08x = 1,654.50 × 694.92
  4. Step 4: Simplify right side
    1,199.08x = 1,149,745.14
  5. Step 5: Solve for x
    x = 1,149,745.14/1,199.08
  6. Step 6: Final answer
    x = 958.86

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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.