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Finding the Fourth Proportional to 451.06, 675.96 and 421.48

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Solution

The fourth proportional to 451.06, 675.96 and 421.48 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.06 : 675.96 = 421.48 : x
  2. Step 2: Convert to fraction form
    451.06/675.96 = 421.48/x
  3. Step 3: Cross multiply
    451.06x = 675.96 × 421.48
  4. Step 4: Simplify right side
    451.06x = 284,903.62
  5. Step 5: Solve for x
    x = 284,903.62/451.06
  6. Step 6: Final answer
    x = 631.63

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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.