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Finding the Fourth Proportional to 451.06, 675.65 and 396.29

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Solution

The fourth proportional to 451.06, 675.65 and 396.29 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.06 : 675.65 = 396.29 : x
  2. Step 2: Convert to fraction form
    451.06/675.65 = 396.29/x
  3. Step 3: Cross multiply
    451.06x = 675.65 × 396.29
  4. Step 4: Simplify right side
    451.06x = 267,750.95
  5. Step 5: Solve for x
    x = 267,750.95/451.06
  6. Step 6: Final answer
    x = 593.61

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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.