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Finding the Fourth Proportional to 872, 1,201.62 and 635.48

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Solution

The fourth proportional to 872, 1,201.62 and 635.48 is: 875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,201.62 = 635.48 : x
  2. Step 2: Convert to fraction form
    872/1,201.62 = 635.48/x
  3. Step 3: Cross multiply
    872x = 1,201.62 × 635.48
  4. Step 4: Simplify right side
    872x = 763,605.48
  5. Step 5: Solve for x
    x = 763,605.48/872
  6. Step 6: Final answer
    x = 875.69

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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.