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Finding the Fourth Proportional to 492.63, 737.28 and 449.37

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Solution

The fourth proportional to 492.63, 737.28 and 449.37 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 737.28 = 449.37 : x
  2. Step 2: Convert to fraction form
    492.63/737.28 = 449.37/x
  3. Step 3: Cross multiply
    492.63x = 737.28 × 449.37
  4. Step 4: Simplify right side
    492.63x = 331,311.51
  5. Step 5: Solve for x
    x = 331,311.51/492.63
  6. Step 6: Final answer
    x = 672.54

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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.