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Finding the Fourth Proportional to 475.26, 651.67 and 428.44

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Solution

The fourth proportional to 475.26, 651.67 and 428.44 is: 587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.26 : 651.67 = 428.44 : x
  2. Step 2: Convert to fraction form
    475.26/651.67 = 428.44/x
  3. Step 3: Cross multiply
    475.26x = 651.67 × 428.44
  4. Step 4: Simplify right side
    475.26x = 279,201.49
  5. Step 5: Solve for x
    x = 279,201.49/475.26
  6. Step 6: Final answer
    x = 587.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.