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Finding the Fourth Proportional to 450.24, 676.02 and 288.78

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Solution

The fourth proportional to 450.24, 676.02 and 288.78 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 676.02 = 288.78 : x
  2. Step 2: Convert to fraction form
    450.24/676.02 = 288.78/x
  3. Step 3: Cross multiply
    450.24x = 676.02 × 288.78
  4. Step 4: Simplify right side
    450.24x = 195,221.06
  5. Step 5: Solve for x
    x = 195,221.06/450.24
  6. Step 6: Final answer
    x = 433.59

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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.