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Finding the Fourth Proportional to 1,196.97, 1,651.90 and 665.93

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Solution

The fourth proportional to 1,196.97, 1,651.90 and 665.93 is: 919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.97 : 1,651.90 = 665.93 : x
  2. Step 2: Convert to fraction form
    1,196.97/1,651.90 = 665.93/x
  3. Step 3: Cross multiply
    1,196.97x = 1,651.90 × 665.93
  4. Step 4: Simplify right side
    1,196.97x = 1,100,049.77
  5. Step 5: Solve for x
    x = 1,100,049.77/1,196.97
  6. Step 6: Final answer
    x = 919.03

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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.