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Finding the Fourth Proportional to 492.63, 738.93 and 122.43

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Solution

The fourth proportional to 492.63, 738.93 and 122.43 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 738.93 = 122.43 : x
  2. Step 2: Convert to fraction form
    492.63/738.93 = 122.43/x
  3. Step 3: Cross multiply
    492.63x = 738.93 × 122.43
  4. Step 4: Simplify right side
    492.63x = 90,467.20
  5. Step 5: Solve for x
    x = 90,467.20/492.63
  6. Step 6: Final answer
    x = 183.64

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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.