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Finding the Fourth Proportional to 497.91, 687.12 and 273.86

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Solution

The fourth proportional to 497.91, 687.12 and 273.86 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.91 : 687.12 = 273.86 : x
  2. Step 2: Convert to fraction form
    497.91/687.12 = 273.86/x
  3. Step 3: Cross multiply
    497.91x = 687.12 × 273.86
  4. Step 4: Simplify right side
    497.91x = 188,174.68
  5. Step 5: Solve for x
    x = 188,174.68/497.91
  6. Step 6: Final answer
    x = 377.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.