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Finding the Fourth Proportional to 504.75, 757.31 and 162.75

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Solution

The fourth proportional to 504.75, 757.31 and 162.75 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 757.31 = 162.75 : x
  2. Step 2: Convert to fraction form
    504.75/757.31 = 162.75/x
  3. Step 3: Cross multiply
    504.75x = 757.31 × 162.75
  4. Step 4: Simplify right side
    504.75x = 123,251.39
  5. Step 5: Solve for x
    x = 123,251.39/504.75
  6. Step 6: Final answer
    x = 244.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.