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Finding the Fourth Proportional to 757.51, 1,134.08 and 444.21

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Solution

The fourth proportional to 757.51, 1,134.08 and 444.21 is: 665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.51 : 1,134.08 = 444.21 : x
  2. Step 2: Convert to fraction form
    757.51/1,134.08 = 444.21/x
  3. Step 3: Cross multiply
    757.51x = 1,134.08 × 444.21
  4. Step 4: Simplify right side
    757.51x = 503,764.87
  5. Step 5: Solve for x
    x = 503,764.87/757.51
  6. Step 6: Final answer
    x = 665.03

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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.