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Finding the Fourth Proportional to 631.05, 945.95 and 301.89

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Solution

The fourth proportional to 631.05, 945.95 and 301.89 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.05 : 945.95 = 301.89 : x
  2. Step 2: Convert to fraction form
    631.05/945.95 = 301.89/x
  3. Step 3: Cross multiply
    631.05x = 945.95 × 301.89
  4. Step 4: Simplify right side
    631.05x = 285,577.43
  5. Step 5: Solve for x
    x = 285,577.43/631.05
  6. Step 6: Final answer
    x = 452.54

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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.