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Finding the Fourth Proportional to 451.99, 677.91 and 285.22

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Solution

The fourth proportional to 451.99, 677.91 and 285.22 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.99 : 677.91 = 285.22 : x
  2. Step 2: Convert to fraction form
    451.99/677.91 = 285.22/x
  3. Step 3: Cross multiply
    451.99x = 677.91 × 285.22
  4. Step 4: Simplify right side
    451.99x = 193,353.49
  5. Step 5: Solve for x
    x = 193,353.49/451.99
  6. Step 6: Final answer
    x = 427.78

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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.