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Finding the Fourth Proportional to 475.25, 655.82 and 461.27

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Solution

The fourth proportional to 475.25, 655.82 and 461.27 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.25 : 655.82 = 461.27 : x
  2. Step 2: Convert to fraction form
    475.25/655.82 = 461.27/x
  3. Step 3: Cross multiply
    475.25x = 655.82 × 461.27
  4. Step 4: Simplify right side
    475.25x = 302,510.09
  5. Step 5: Solve for x
    x = 302,510.09/475.25
  6. Step 6: Final answer
    x = 636.53

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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.