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Finding the Fourth Proportional to 636.28, 955.76 and 431.24

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Solution

The fourth proportional to 636.28, 955.76 and 431.24 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.28 : 955.76 = 431.24 : x
  2. Step 2: Convert to fraction form
    636.28/955.76 = 431.24/x
  3. Step 3: Cross multiply
    636.28x = 955.76 × 431.24
  4. Step 4: Simplify right side
    636.28x = 412,161.94
  5. Step 5: Solve for x
    x = 412,161.94/636.28
  6. Step 6: Final answer
    x = 647.77

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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.