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Finding the Fourth Proportional to 636.14, 954.42 and 289.74

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Solution

The fourth proportional to 636.14, 954.42 and 289.74 is: 434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.14 : 954.42 = 289.74 : x
  2. Step 2: Convert to fraction form
    636.14/954.42 = 289.74/x
  3. Step 3: Cross multiply
    636.14x = 954.42 × 289.74
  4. Step 4: Simplify right side
    636.14x = 276,533.65
  5. Step 5: Solve for x
    x = 276,533.65/636.14
  6. Step 6: Final answer
    x = 434.71

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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.