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Finding the Fourth Proportional to 1,196.61, 1,651.89 and 798.95

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Solution

The fourth proportional to 1,196.61, 1,651.89 and 798.95 is: 1,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.61 : 1,651.89 = 798.95 : x
  2. Step 2: Convert to fraction form
    1,196.61/1,651.89 = 798.95/x
  3. Step 3: Cross multiply
    1,196.61x = 1,651.89 × 798.95
  4. Step 4: Simplify right side
    1,196.61x = 1,319,769.26
  5. Step 5: Solve for x
    x = 1,319,769.26/1,196.61
  6. Step 6: Final answer
    x = 1,102.92

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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.