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Finding the Fourth Proportional to 500.85, 749.39 and 414.22

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Solution

The fourth proportional to 500.85, 749.39 and 414.22 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.85 : 749.39 = 414.22 : x
  2. Step 2: Convert to fraction form
    500.85/749.39 = 414.22/x
  3. Step 3: Cross multiply
    500.85x = 749.39 × 414.22
  4. Step 4: Simplify right side
    500.85x = 310,412.06
  5. Step 5: Solve for x
    x = 310,412.06/500.85
  6. Step 6: Final answer
    x = 619.78

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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.