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Finding the Fourth Proportional to 492.22, 736.94 and 453.94

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Solution

The fourth proportional to 492.22, 736.94 and 453.94 is: 679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.22 : 736.94 = 453.94 : x
  2. Step 2: Convert to fraction form
    492.22/736.94 = 453.94/x
  3. Step 3: Cross multiply
    492.22x = 736.94 × 453.94
  4. Step 4: Simplify right side
    492.22x = 334,526.54
  5. Step 5: Solve for x
    x = 334,526.54/492.22
  6. Step 6: Final answer
    x = 679.63

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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.