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Finding the Fourth Proportional to 676.75, 1,008.98 and 635.44

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Solution

The fourth proportional to 676.75, 1,008.98 and 635.44 is: 947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.75 : 1,008.98 = 635.44 : x
  2. Step 2: Convert to fraction form
    676.75/1,008.98 = 635.44/x
  3. Step 3: Cross multiply
    676.75x = 1,008.98 × 635.44
  4. Step 4: Simplify right side
    676.75x = 641,146.25
  5. Step 5: Solve for x
    x = 641,146.25/676.75
  6. Step 6: Final answer
    x = 947.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.