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Finding the Fourth Proportional to 1,326.80, 1,829.76 and 829.28

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Solution

The fourth proportional to 1,326.80, 1,829.76 and 829.28 is: 1,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.80 : 1,829.76 = 829.28 : x
  2. Step 2: Convert to fraction form
    1,326.80/1,829.76 = 829.28/x
  3. Step 3: Cross multiply
    1,326.80x = 1,829.76 × 829.28
  4. Step 4: Simplify right side
    1,326.80x = 1,517,383.37
  5. Step 5: Solve for x
    x = 1,517,383.37/1,326.80
  6. Step 6: Final answer
    x = 1,143.64

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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.