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Finding the Fourth Proportional to 636.27, 878.28 and 412.51

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Solution

The fourth proportional to 636.27, 878.28 and 412.51 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.27 : 878.28 = 412.51 : x
  2. Step 2: Convert to fraction form
    636.27/878.28 = 412.51/x
  3. Step 3: Cross multiply
    636.27x = 878.28 × 412.51
  4. Step 4: Simplify right side
    636.27x = 362,299.28
  5. Step 5: Solve for x
    x = 362,299.28/636.27
  6. Step 6: Final answer
    x = 569.41

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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.