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Finding the Fourth Proportional to 497.72, 683.90 and 492.68

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Solution

The fourth proportional to 497.72, 683.90 and 492.68 is: 676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 683.90 = 492.68 : x
  2. Step 2: Convert to fraction form
    497.72/683.90 = 492.68/x
  3. Step 3: Cross multiply
    497.72x = 683.90 × 492.68
  4. Step 4: Simplify right side
    497.72x = 336,943.85
  5. Step 5: Solve for x
    x = 336,943.85/497.72
  6. Step 6: Final answer
    x = 676.97

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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.