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Finding the Fourth Proportional to 637.14, 878.46 and 412.70

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Solution

The fourth proportional to 637.14, 878.46 and 412.70 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 878.46 = 412.70 : x
  2. Step 2: Convert to fraction form
    637.14/878.46 = 412.70/x
  3. Step 3: Cross multiply
    637.14x = 878.46 × 412.70
  4. Step 4: Simplify right side
    637.14x = 362,540.44
  5. Step 5: Solve for x
    x = 362,540.44/637.14
  6. Step 6: Final answer
    x = 569.01

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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.