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Finding the Fourth Proportional to 508.45, 762.75 and 161.75

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Solution

The fourth proportional to 508.45, 762.75 and 161.75 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.45 : 762.75 = 161.75 : x
  2. Step 2: Convert to fraction form
    508.45/762.75 = 161.75/x
  3. Step 3: Cross multiply
    508.45x = 762.75 × 161.75
  4. Step 4: Simplify right side
    508.45x = 123,374.81
  5. Step 5: Solve for x
    x = 123,374.81/508.45
  6. Step 6: Final answer
    x = 242.65

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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.