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Finding the Fourth Proportional to 451, 675.06 and 423.64

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Solution

The fourth proportional to 451, 675.06 and 423.64 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 675.06 = 423.64 : x
  2. Step 2: Convert to fraction form
    451/675.06 = 423.64/x
  3. Step 3: Cross multiply
    451x = 675.06 × 423.64
  4. Step 4: Simplify right side
    451x = 285,982.42
  5. Step 5: Solve for x
    x = 285,982.42/451
  6. Step 6: Final answer
    x = 634.11

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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.