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Finding the Fourth Proportional to 635.10, 952.40 and 429.77

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Solution

The fourth proportional to 635.10, 952.40 and 429.77 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.10 : 952.40 = 429.77 : x
  2. Step 2: Convert to fraction form
    635.10/952.40 = 429.77/x
  3. Step 3: Cross multiply
    635.10x = 952.40 × 429.77
  4. Step 4: Simplify right side
    635.10x = 409,306.04
  5. Step 5: Solve for x
    x = 409,306.04/635.10
  6. Step 6: Final answer
    x = 644.47

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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.