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Finding the Fourth Proportional to 461.57, 636.42 and 428.76

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Solution

The fourth proportional to 461.57, 636.42 and 428.76 is: 591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 636.42 = 428.76 : x
  2. Step 2: Convert to fraction form
    461.57/636.42 = 428.76/x
  3. Step 3: Cross multiply
    461.57x = 636.42 × 428.76
  4. Step 4: Simplify right side
    461.57x = 272,873.05
  5. Step 5: Solve for x
    x = 272,873.05/461.57
  6. Step 6: Final answer
    x = 591.19

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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.