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Finding the Fourth Proportional to 1,196.35, 1,651.70 and 754.90

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Solution

The fourth proportional to 1,196.35, 1,651.70 and 754.90 is: 1,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.35 : 1,651.70 = 754.90 : x
  2. Step 2: Convert to fraction form
    1,196.35/1,651.70 = 754.90/x
  3. Step 3: Cross multiply
    1,196.35x = 1,651.70 × 754.90
  4. Step 4: Simplify right side
    1,196.35x = 1,246,866.09
  5. Step 5: Solve for x
    x = 1,246,866.09/1,196.35
  6. Step 6: Final answer
    x = 1,042.23

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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.