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Finding the Fourth Proportional to 1,278.22, 1,764.12 and 829.96

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Solution

The fourth proportional to 1,278.22, 1,764.12 and 829.96 is: 1,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.22 : 1,764.12 = 829.96 : x
  2. Step 2: Convert to fraction form
    1,278.22/1,764.12 = 829.96/x
  3. Step 3: Cross multiply
    1,278.22x = 1,764.12 × 829.96
  4. Step 4: Simplify right side
    1,278.22x = 1,464,149.04
  5. Step 5: Solve for x
    x = 1,464,149.04/1,278.22
  6. Step 6: Final answer
    x = 1,145.46

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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.