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Finding the Fourth Proportional to 450.76, 677.51 and 441.19

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Solution

The fourth proportional to 450.76, 677.51 and 441.19 is: 663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 677.51 = 441.19 : x
  2. Step 2: Convert to fraction form
    450.76/677.51 = 441.19/x
  3. Step 3: Cross multiply
    450.76x = 677.51 × 441.19
  4. Step 4: Simplify right side
    450.76x = 298,910.64
  5. Step 5: Solve for x
    x = 298,910.64/450.76
  6. Step 6: Final answer
    x = 663.13

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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.