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Finding the Fourth Proportional to 635.37, 952.89 and 431.20

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Solution

The fourth proportional to 635.37, 952.89 and 431.20 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.37 : 952.89 = 431.20 : x
  2. Step 2: Convert to fraction form
    635.37/952.89 = 431.20/x
  3. Step 3: Cross multiply
    635.37x = 952.89 × 431.20
  4. Step 4: Simplify right side
    635.37x = 410,886.17
  5. Step 5: Solve for x
    x = 410,886.17/635.37
  6. Step 6: Final answer
    x = 646.69

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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.