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Finding the Fourth Proportional to 672.25, 1,007.49 and 628.41

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Solution

The fourth proportional to 672.25, 1,007.49 and 628.41 is: 941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.25 : 1,007.49 = 628.41 : x
  2. Step 2: Convert to fraction form
    672.25/1,007.49 = 628.41/x
  3. Step 3: Cross multiply
    672.25x = 1,007.49 × 628.41
  4. Step 4: Simplify right side
    672.25x = 633,113.72
  5. Step 5: Solve for x
    x = 633,113.72/672.25
  6. Step 6: Final answer
    x = 941.78

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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.