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Finding the Fourth Proportional to 757.45, 1,133.97 and 444.15

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Solution

The fourth proportional to 757.45, 1,133.97 and 444.15 is: 664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.45 : 1,133.97 = 444.15 : x
  2. Step 2: Convert to fraction form
    757.45/1,133.97 = 444.15/x
  3. Step 3: Cross multiply
    757.45x = 1,133.97 × 444.15
  4. Step 4: Simplify right side
    757.45x = 503,651.11
  5. Step 5: Solve for x
    x = 503,651.11/757.45
  6. Step 6: Final answer
    x = 664.93

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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.