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Finding the Fourth Proportional to 646.56, 896.01 and 634.25

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Solution

The fourth proportional to 646.56, 896.01 and 634.25 is: 878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 896.01 = 634.25 : x
  2. Step 2: Convert to fraction form
    646.56/896.01 = 634.25/x
  3. Step 3: Cross multiply
    646.56x = 896.01 × 634.25
  4. Step 4: Simplify right side
    646.56x = 568,289.86
  5. Step 5: Solve for x
    x = 568,289.86/646.56
  6. Step 6: Final answer
    x = 878.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.