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Finding the Fourth Proportional to 436.20, 650.24 and 416.76

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Solution

The fourth proportional to 436.20, 650.24 and 416.76 is: 621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.20 : 650.24 = 416.76 : x
  2. Step 2: Convert to fraction form
    436.20/650.24 = 416.76/x
  3. Step 3: Cross multiply
    436.20x = 650.24 × 416.76
  4. Step 4: Simplify right side
    436.20x = 270,991.94
  5. Step 5: Solve for x
    x = 270,991.94/436.20
  6. Step 6: Final answer
    x = 621.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.