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Finding the Fourth Proportional to 631.45, 949.20 and 450.10

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Solution

The fourth proportional to 631.45, 949.20 and 450.10 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.45 : 949.20 = 450.10 : x
  2. Step 2: Convert to fraction form
    631.45/949.20 = 450.10/x
  3. Step 3: Cross multiply
    631.45x = 949.20 × 450.10
  4. Step 4: Simplify right side
    631.45x = 427,234.92
  5. Step 5: Solve for x
    x = 427,234.92/631.45
  6. Step 6: Final answer
    x = 676.59

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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.