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Finding the Fourth Proportional to 636.86, 953.67 and 311.38

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Solution

The fourth proportional to 636.86, 953.67 and 311.38 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.86 : 953.67 = 311.38 : x
  2. Step 2: Convert to fraction form
    636.86/953.67 = 311.38/x
  3. Step 3: Cross multiply
    636.86x = 953.67 × 311.38
  4. Step 4: Simplify right side
    636.86x = 296,953.76
  5. Step 5: Solve for x
    x = 296,953.76/636.86
  6. Step 6: Final answer
    x = 466.28

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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.