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Finding the Fourth Proportional to 1,196.26, 1,650.80 and 699.20

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Solution

The fourth proportional to 1,196.26, 1,650.80 and 699.20 is: 964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.26 : 1,650.80 = 699.20 : x
  2. Step 2: Convert to fraction form
    1,196.26/1,650.80 = 699.20/x
  3. Step 3: Cross multiply
    1,196.26x = 1,650.80 × 699.20
  4. Step 4: Simplify right side
    1,196.26x = 1,154,239.36
  5. Step 5: Solve for x
    x = 1,154,239.36/1,196.26
  6. Step 6: Final answer
    x = 964.87

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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.