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Finding the Fourth Proportional to 492.57, 676.01 and 445.86

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Solution

The fourth proportional to 492.57, 676.01 and 445.86 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 676.01 = 445.86 : x
  2. Step 2: Convert to fraction form
    492.57/676.01 = 445.86/x
  3. Step 3: Cross multiply
    492.57x = 676.01 × 445.86
  4. Step 4: Simplify right side
    492.57x = 301,403.59
  5. Step 5: Solve for x
    x = 301,403.59/492.57
  6. Step 6: Final answer
    x = 611.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.