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Finding the Fourth Proportional to 636.46, 953.71 and 312.05

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Solution

The fourth proportional to 636.46, 953.71 and 312.05 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.46 : 953.71 = 312.05 : x
  2. Step 2: Convert to fraction form
    636.46/953.71 = 312.05/x
  3. Step 3: Cross multiply
    636.46x = 953.71 × 312.05
  4. Step 4: Simplify right side
    636.46x = 297,605.21
  5. Step 5: Solve for x
    x = 297,605.21/636.46
  6. Step 6: Final answer
    x = 467.59

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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.