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Finding the Fourth Proportional to 636.55, 954.71 and 311.71

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Solution

The fourth proportional to 636.55, 954.71 and 311.71 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.55 : 954.71 = 311.71 : x
  2. Step 2: Convert to fraction form
    636.55/954.71 = 311.71/x
  3. Step 3: Cross multiply
    636.55x = 954.71 × 311.71
  4. Step 4: Simplify right side
    636.55x = 297,591.10
  5. Step 5: Solve for x
    x = 297,591.10/636.55
  6. Step 6: Final answer
    x = 467.51

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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.