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Finding the Fourth Proportional to 451.05, 676.85 and 288.87

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Solution

The fourth proportional to 451.05, 676.85 and 288.87 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.05 : 676.85 = 288.87 : x
  2. Step 2: Convert to fraction form
    451.05/676.85 = 288.87/x
  3. Step 3: Cross multiply
    451.05x = 676.85 × 288.87
  4. Step 4: Simplify right side
    451.05x = 195,520.22
  5. Step 5: Solve for x
    x = 195,520.22/451.05
  6. Step 6: Final answer
    x = 433.48

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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.