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Finding the Fourth Proportional to 841.72, 1,268.87 and 829.12

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Solution

The fourth proportional to 841.72, 1,268.87 and 829.12 is: 1,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.72 : 1,268.87 = 829.12 : x
  2. Step 2: Convert to fraction form
    841.72/1,268.87 = 829.12/x
  3. Step 3: Cross multiply
    841.72x = 1,268.87 × 829.12
  4. Step 4: Simplify right side
    841.72x = 1,052,045.49
  5. Step 5: Solve for x
    x = 1,052,045.49/841.72
  6. Step 6: Final answer
    x = 1,249.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.