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Finding the Fourth Proportional to 635.55, 952.10 and 429.91

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Solution

The fourth proportional to 635.55, 952.10 and 429.91 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.55 : 952.10 = 429.91 : x
  2. Step 2: Convert to fraction form
    635.55/952.10 = 429.91/x
  3. Step 3: Cross multiply
    635.55x = 952.10 × 429.91
  4. Step 4: Simplify right side
    635.55x = 409,316.81
  5. Step 5: Solve for x
    x = 409,316.81/635.55
  6. Step 6: Final answer
    x = 644.04

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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.