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Finding the Fourth Proportional to 478.21, 717.87 and 451.21

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Solution

The fourth proportional to 478.21, 717.87 and 451.21 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.21 : 717.87 = 451.21 : x
  2. Step 2: Convert to fraction form
    478.21/717.87 = 451.21/x
  3. Step 3: Cross multiply
    478.21x = 717.87 × 451.21
  4. Step 4: Simplify right side
    478.21x = 323,910.12
  5. Step 5: Solve for x
    x = 323,910.12/478.21
  6. Step 6: Final answer
    x = 677.34

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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.