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Finding the Fourth Proportional to 635.66, 949.26 and 628.78

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Solution

The fourth proportional to 635.66, 949.26 and 628.78 is: 938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.66 : 949.26 = 628.78 : x
  2. Step 2: Convert to fraction form
    635.66/949.26 = 628.78/x
  3. Step 3: Cross multiply
    635.66x = 949.26 × 628.78
  4. Step 4: Simplify right side
    635.66x = 596,875.70
  5. Step 5: Solve for x
    x = 596,875.70/635.66
  6. Step 6: Final answer
    x = 938.99

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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.