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Finding the Fourth Proportional to 451.31, 680.36 and 422.55

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Solution

The fourth proportional to 451.31, 680.36 and 422.55 is: 637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.31 : 680.36 = 422.55 : x
  2. Step 2: Convert to fraction form
    451.31/680.36 = 422.55/x
  3. Step 3: Cross multiply
    451.31x = 680.36 × 422.55
  4. Step 4: Simplify right side
    451.31x = 287,484.01
  5. Step 5: Solve for x
    x = 287,484.01/451.31
  6. Step 6: Final answer
    x = 637.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.