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Finding the Fourth Proportional to 798.24, 1,196.64 and 680.88

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Solution

The fourth proportional to 798.24, 1,196.64 and 680.88 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.24 : 1,196.64 = 680.88 : x
  2. Step 2: Convert to fraction form
    798.24/1,196.64 = 680.88/x
  3. Step 3: Cross multiply
    798.24x = 1,196.64 × 680.88
  4. Step 4: Simplify right side
    798.24x = 814,768.24
  5. Step 5: Solve for x
    x = 814,768.24/798.24
  6. Step 6: Final answer
    x = 1,020.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.