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Finding the Fourth Proportional to 462.96, 693.80 and 451.62

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Solution

The fourth proportional to 462.96, 693.80 and 451.62 is: 676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 693.80 = 451.62 : x
  2. Step 2: Convert to fraction form
    462.96/693.80 = 451.62/x
  3. Step 3: Cross multiply
    462.96x = 693.80 × 451.62
  4. Step 4: Simplify right side
    462.96x = 313,333.96
  5. Step 5: Solve for x
    x = 313,333.96/462.96
  6. Step 6: Final answer
    x = 676.81

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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.