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Finding the Fourth Proportional to 461.44, 635.40 and 387.64

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Solution

The fourth proportional to 461.44, 635.40 and 387.64 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 635.40 = 387.64 : x
  2. Step 2: Convert to fraction form
    461.44/635.40 = 387.64/x
  3. Step 3: Cross multiply
    461.44x = 635.40 × 387.64
  4. Step 4: Simplify right side
    461.44x = 246,306.46
  5. Step 5: Solve for x
    x = 246,306.46/461.44
  6. Step 6: Final answer
    x = 533.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.