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Finding the Fourth Proportional to 636.81, 953.99 and 431.02

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Solution

The fourth proportional to 636.81, 953.99 and 431.02 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.81 : 953.99 = 431.02 : x
  2. Step 2: Convert to fraction form
    636.81/953.99 = 431.02/x
  3. Step 3: Cross multiply
    636.81x = 953.99 × 431.02
  4. Step 4: Simplify right side
    636.81x = 411,188.77
  5. Step 5: Solve for x
    x = 411,188.77/636.81
  6. Step 6: Final answer
    x = 645.71

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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.