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Finding the Fourth Proportional to 635.70, 877.90 and 634.49

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Solution

The fourth proportional to 635.70, 877.90 and 634.49 is: 876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.70 : 877.90 = 634.49 : x
  2. Step 2: Convert to fraction form
    635.70/877.90 = 634.49/x
  3. Step 3: Cross multiply
    635.70x = 877.90 × 634.49
  4. Step 4: Simplify right side
    635.70x = 557,018.77
  5. Step 5: Solve for x
    x = 557,018.77/635.70
  6. Step 6: Final answer
    x = 876.23

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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.