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Finding the Fourth Proportional to 450.88, 680.32 and 434

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Solution

The fourth proportional to 450.88, 680.32 and 434 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.88 : 680.32 = 434 : x
  2. Step 2: Convert to fraction form
    450.88/680.32 = 434/x
  3. Step 3: Cross multiply
    450.88x = 680.32 × 434
  4. Step 4: Simplify right side
    450.88x = 295,258.88
  5. Step 5: Solve for x
    x = 295,258.88/450.88
  6. Step 6: Final answer
    x = 654.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.