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Finding the Fourth Proportional to 635.11, 949.54 and 538.69

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Solution

The fourth proportional to 635.11, 949.54 and 538.69 is: 805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.11 : 949.54 = 538.69 : x
  2. Step 2: Convert to fraction form
    635.11/949.54 = 538.69/x
  3. Step 3: Cross multiply
    635.11x = 949.54 × 538.69
  4. Step 4: Simplify right side
    635.11x = 511,507.70
  5. Step 5: Solve for x
    x = 511,507.70/635.11
  6. Step 6: Final answer
    x = 805.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.