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Finding the Fourth Proportional to 616.20, 851.22 and 462.84

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Solution

The fourth proportional to 616.20, 851.22 and 462.84 is: 639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 851.22 = 462.84 : x
  2. Step 2: Convert to fraction form
    616.20/851.22 = 462.84/x
  3. Step 3: Cross multiply
    616.20x = 851.22 × 462.84
  4. Step 4: Simplify right side
    616.20x = 393,978.66
  5. Step 5: Solve for x
    x = 393,978.66/616.20
  6. Step 6: Final answer
    x = 639.37

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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.