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Finding the Fourth Proportional to 502.41, 755.01 and 438.93

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Solution

The fourth proportional to 502.41, 755.01 and 438.93 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.41 : 755.01 = 438.93 : x
  2. Step 2: Convert to fraction form
    502.41/755.01 = 438.93/x
  3. Step 3: Cross multiply
    502.41x = 755.01 × 438.93
  4. Step 4: Simplify right side
    502.41x = 331,396.54
  5. Step 5: Solve for x
    x = 331,396.54/502.41
  6. Step 6: Final answer
    x = 659.61

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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.