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Finding the Fourth Proportional to 630.28, 945.63 and 445.20

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Solution

The fourth proportional to 630.28, 945.63 and 445.20 is: 667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.28 : 945.63 = 445.20 : x
  2. Step 2: Convert to fraction form
    630.28/945.63 = 445.20/x
  3. Step 3: Cross multiply
    630.28x = 945.63 × 445.20
  4. Step 4: Simplify right side
    630.28x = 420,994.48
  5. Step 5: Solve for x
    x = 420,994.48/630.28
  6. Step 6: Final answer
    x = 667.95

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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.