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Finding the Fourth Proportional to 636.44, 952.83 and 471.60

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Solution

The fourth proportional to 636.44, 952.83 and 471.60 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.44 : 952.83 = 471.60 : x
  2. Step 2: Convert to fraction form
    636.44/952.83 = 471.60/x
  3. Step 3: Cross multiply
    636.44x = 952.83 × 471.60
  4. Step 4: Simplify right side
    636.44x = 449,354.63
  5. Step 5: Solve for x
    x = 449,354.63/636.44
  6. Step 6: Final answer
    x = 706.05

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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.