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Finding the Fourth Proportional to 757.30, 1,134.96 and 738.22

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Solution

The fourth proportional to 757.30, 1,134.96 and 738.22 is: 1,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.30 : 1,134.96 = 738.22 : x
  2. Step 2: Convert to fraction form
    757.30/1,134.96 = 738.22/x
  3. Step 3: Cross multiply
    757.30x = 1,134.96 × 738.22
  4. Step 4: Simplify right side
    757.30x = 837,850.17
  5. Step 5: Solve for x
    x = 837,850.17/757.30
  6. Step 6: Final answer
    x = 1,106.36

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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.