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Finding the Fourth Proportional to 417.85, 627.63 and 320.80

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Solution

The fourth proportional to 417.85, 627.63 and 320.80 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.85 : 627.63 = 320.80 : x
  2. Step 2: Convert to fraction form
    417.85/627.63 = 320.80/x
  3. Step 3: Cross multiply
    417.85x = 627.63 × 320.80
  4. Step 4: Simplify right side
    417.85x = 201,343.70
  5. Step 5: Solve for x
    x = 201,343.70/417.85
  6. Step 6: Final answer
    x = 481.86

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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.