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Finding the Fourth Proportional to 840.82, 1,267.96 and 829.28

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Solution

The fourth proportional to 840.82, 1,267.96 and 829.28 is: 1,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,267.96 = 829.28 : x
  2. Step 2: Convert to fraction form
    840.82/1,267.96 = 829.28/x
  3. Step 3: Cross multiply
    840.82x = 1,267.96 × 829.28
  4. Step 4: Simplify right side
    840.82x = 1,051,494.97
  5. Step 5: Solve for x
    x = 1,051,494.97/840.82
  6. Step 6: Final answer
    x = 1,250.56

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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.