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Finding the Fourth Proportional to 1,326.80, 1,979.90 and 1,110.80

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Solution

The fourth proportional to 1,326.80, 1,979.90 and 1,110.80 is: 1,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.80 : 1,979.90 = 1,110.80 : x
  2. Step 2: Convert to fraction form
    1,326.80/1,979.90 = 1,110.80/x
  3. Step 3: Cross multiply
    1,326.80x = 1,979.90 × 1,110.80
  4. Step 4: Simplify right side
    1,326.80x = 2,199,272.92
  5. Step 5: Solve for x
    x = 2,199,272.92/1,326.80
  6. Step 6: Final answer
    x = 1,657.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.