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Finding the Fourth Proportional to 450.56, 677.08 and 328.96

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Solution

The fourth proportional to 450.56, 677.08 and 328.96 is: 494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 677.08 = 328.96 : x
  2. Step 2: Convert to fraction form
    450.56/677.08 = 328.96/x
  3. Step 3: Cross multiply
    450.56x = 677.08 × 328.96
  4. Step 4: Simplify right side
    450.56x = 222,732.24
  5. Step 5: Solve for x
    x = 222,732.24/450.56
  6. Step 6: Final answer
    x = 494.35

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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.