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Finding the Fourth Proportional to 502.88, 754.43 and 173.86

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Solution

The fourth proportional to 502.88, 754.43 and 173.86 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 754.43 = 173.86 : x
  2. Step 2: Convert to fraction form
    502.88/754.43 = 173.86/x
  3. Step 3: Cross multiply
    502.88x = 754.43 × 173.86
  4. Step 4: Simplify right side
    502.88x = 131,162.44
  5. Step 5: Solve for x
    x = 131,162.44/502.88
  6. Step 6: Final answer
    x = 260.83

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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.