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Finding the Fourth Proportional to 500.38, 751.78 and 488.22

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Solution

The fourth proportional to 500.38, 751.78 and 488.22 is: 733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 751.78 = 488.22 : x
  2. Step 2: Convert to fraction form
    500.38/751.78 = 488.22/x
  3. Step 3: Cross multiply
    500.38x = 751.78 × 488.22
  4. Step 4: Simplify right side
    500.38x = 367,034.03
  5. Step 5: Solve for x
    x = 367,034.03/500.38
  6. Step 6: Final answer
    x = 733.51

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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.