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Finding the Fourth Proportional to 630.99, 944.64 and 445.23

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Solution

The fourth proportional to 630.99, 944.64 and 445.23 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.99 : 944.64 = 445.23 : x
  2. Step 2: Convert to fraction form
    630.99/944.64 = 445.23/x
  3. Step 3: Cross multiply
    630.99x = 944.64 × 445.23
  4. Step 4: Simplify right side
    630.99x = 420,582.07
  5. Step 5: Solve for x
    x = 420,582.07/630.99
  6. Step 6: Final answer
    x = 666.54

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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.