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Finding the Fourth Proportional to 500.41, 749.97 and 438.57

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Solution

The fourth proportional to 500.41, 749.97 and 438.57 is: 657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.41 : 749.97 = 438.57 : x
  2. Step 2: Convert to fraction form
    500.41/749.97 = 438.57/x
  3. Step 3: Cross multiply
    500.41x = 749.97 × 438.57
  4. Step 4: Simplify right side
    500.41x = 328,914.34
  5. Step 5: Solve for x
    x = 328,914.34/500.41
  6. Step 6: Final answer
    x = 657.29

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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.