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Finding the Fourth Proportional to 635.16, 951.46 and 428.64

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Solution

The fourth proportional to 635.16, 951.46 and 428.64 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.16 : 951.46 = 428.64 : x
  2. Step 2: Convert to fraction form
    635.16/951.46 = 428.64/x
  3. Step 3: Cross multiply
    635.16x = 951.46 × 428.64
  4. Step 4: Simplify right side
    635.16x = 407,833.81
  5. Step 5: Solve for x
    x = 407,833.81/635.16
  6. Step 6: Final answer
    x = 642.10

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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.