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Finding the Fourth Proportional to 741.82, 1,022.61 and 636.40

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Solution

The fourth proportional to 741.82, 1,022.61 and 636.40 is: 877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.82 : 1,022.61 = 636.40 : x
  2. Step 2: Convert to fraction form
    741.82/1,022.61 = 636.40/x
  3. Step 3: Cross multiply
    741.82x = 1,022.61 × 636.40
  4. Step 4: Simplify right side
    741.82x = 650,789.00
  5. Step 5: Solve for x
    x = 650,789.00/741.82
  6. Step 6: Final answer
    x = 877.29

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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.