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Finding the Fourth Proportional to 506.80, 699.45 and 475.53

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Solution

The fourth proportional to 506.80, 699.45 and 475.53 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 699.45 = 475.53 : x
  2. Step 2: Convert to fraction form
    506.80/699.45 = 475.53/x
  3. Step 3: Cross multiply
    506.80x = 699.45 × 475.53
  4. Step 4: Simplify right side
    506.80x = 332,608.62
  5. Step 5: Solve for x
    x = 332,608.62/506.80
  6. Step 6: Final answer
    x = 656.29

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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.