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Finding the Fourth Proportional to 492.46, 736.02 and 453.54

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Solution

The fourth proportional to 492.46, 736.02 and 453.54 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 736.02 = 453.54 : x
  2. Step 2: Convert to fraction form
    492.46/736.02 = 453.54/x
  3. Step 3: Cross multiply
    492.46x = 736.02 × 453.54
  4. Step 4: Simplify right side
    492.46x = 333,814.51
  5. Step 5: Solve for x
    x = 333,814.51/492.46
  6. Step 6: Final answer
    x = 677.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.