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Finding the Fourth Proportional to 494.25, 677.13 and 475.80

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Solution

The fourth proportional to 494.25, 677.13 and 475.80 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.25 : 677.13 = 475.80 : x
  2. Step 2: Convert to fraction form
    494.25/677.13 = 475.80/x
  3. Step 3: Cross multiply
    494.25x = 677.13 × 475.80
  4. Step 4: Simplify right side
    494.25x = 322,178.45
  5. Step 5: Solve for x
    x = 322,178.45/494.25
  6. Step 6: Final answer
    x = 651.85

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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.