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Finding the Fourth Proportional to 500.25, 689.67 and 367.37

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Solution

The fourth proportional to 500.25, 689.67 and 367.37 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 689.67 = 367.37 : x
  2. Step 2: Convert to fraction form
    500.25/689.67 = 367.37/x
  3. Step 3: Cross multiply
    500.25x = 689.67 × 367.37
  4. Step 4: Simplify right side
    500.25x = 253,360.62
  5. Step 5: Solve for x
    x = 253,360.62/500.25
  6. Step 6: Final answer
    x = 506.47

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Similar ratio
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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.