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Finding the Fourth Proportional to 635.34, 951.93 and 537.75

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Solution

The fourth proportional to 635.34, 951.93 and 537.75 is: 805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 951.93 = 537.75 : x
  2. Step 2: Convert to fraction form
    635.34/951.93 = 537.75/x
  3. Step 3: Cross multiply
    635.34x = 951.93 × 537.75
  4. Step 4: Simplify right side
    635.34x = 511,900.36
  5. Step 5: Solve for x
    x = 511,900.36/635.34
  6. Step 6: Final answer
    x = 805.71

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Why These Related Problems?

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