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Finding the Fourth Proportional to 461.56, 636.70 and 382.42

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Solution

The fourth proportional to 461.56, 636.70 and 382.42 is: 527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 636.70 = 382.42 : x
  2. Step 2: Convert to fraction form
    461.56/636.70 = 382.42/x
  3. Step 3: Cross multiply
    461.56x = 636.70 × 382.42
  4. Step 4: Simplify right side
    461.56x = 243,486.81
  5. Step 5: Solve for x
    x = 243,486.81/461.56
  6. Step 6: Final answer
    x = 527.53

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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.