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Finding the Fourth Proportional to 616.28, 851.20 and 450.22

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Solution

The fourth proportional to 616.28, 851.20 and 450.22 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 851.20 = 450.22 : x
  2. Step 2: Convert to fraction form
    616.28/851.20 = 450.22/x
  3. Step 3: Cross multiply
    616.28x = 851.20 × 450.22
  4. Step 4: Simplify right side
    616.28x = 383,227.26
  5. Step 5: Solve for x
    x = 383,227.26/616.28
  6. Step 6: Final answer
    x = 621.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.