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Finding the Fourth Proportional to 454.60, 676.76 and 451.90

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Solution

The fourth proportional to 454.60, 676.76 and 451.90 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.60 : 676.76 = 451.90 : x
  2. Step 2: Convert to fraction form
    454.60/676.76 = 451.90/x
  3. Step 3: Cross multiply
    454.60x = 676.76 × 451.90
  4. Step 4: Simplify right side
    454.60x = 305,827.84
  5. Step 5: Solve for x
    x = 305,827.84/454.60
  6. Step 6: Final answer
    x = 672.74

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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.