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Finding the Fourth Proportional to 462.45, 693.67 and 450.83

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Solution

The fourth proportional to 462.45, 693.67 and 450.83 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.67 = 450.83 : x
  2. Step 2: Convert to fraction form
    462.45/693.67 = 450.83/x
  3. Step 3: Cross multiply
    462.45x = 693.67 × 450.83
  4. Step 4: Simplify right side
    462.45x = 312,727.85
  5. Step 5: Solve for x
    x = 312,727.85/462.45
  6. Step 6: Final answer
    x = 676.24

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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.