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Finding the Fourth Proportional to 636.20, 953.73 and 289.35

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Solution

The fourth proportional to 636.20, 953.73 and 289.35 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.20 : 953.73 = 289.35 : x
  2. Step 2: Convert to fraction form
    636.20/953.73 = 289.35/x
  3. Step 3: Cross multiply
    636.20x = 953.73 × 289.35
  4. Step 4: Simplify right side
    636.20x = 275,961.78
  5. Step 5: Solve for x
    x = 275,961.78/636.20
  6. Step 6: Final answer
    x = 433.77

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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.