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Finding the Fourth Proportional to 451.50, 673.38 and 420.72

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Solution

The fourth proportional to 451.50, 673.38 and 420.72 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.50 : 673.38 = 420.72 : x
  2. Step 2: Convert to fraction form
    451.50/673.38 = 420.72/x
  3. Step 3: Cross multiply
    451.50x = 673.38 × 420.72
  4. Step 4: Simplify right side
    451.50x = 283,304.43
  5. Step 5: Solve for x
    x = 283,304.43/451.50
  6. Step 6: Final answer
    x = 627.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.