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Finding the Fourth Proportional to 635.12, 952.02 and 429.20

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Solution

The fourth proportional to 635.12, 952.02 and 429.20 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 952.02 = 429.20 : x
  2. Step 2: Convert to fraction form
    635.12/952.02 = 429.20/x
  3. Step 3: Cross multiply
    635.12x = 952.02 × 429.20
  4. Step 4: Simplify right side
    635.12x = 408,602.22
  5. Step 5: Solve for x
    x = 408,602.22/635.12
  6. Step 6: Final answer
    x = 643.35

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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.