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Finding the Fourth Proportional to 635.81, 952.49 and 430.02

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Solution

The fourth proportional to 635.81, 952.49 and 430.02 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.81 : 952.49 = 430.02 : x
  2. Step 2: Convert to fraction form
    635.81/952.49 = 430.02/x
  3. Step 3: Cross multiply
    635.81x = 952.49 × 430.02
  4. Step 4: Simplify right side
    635.81x = 409,590.82
  5. Step 5: Solve for x
    x = 409,590.82/635.81
  6. Step 6: Final answer
    x = 644.21

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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.