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Finding the Fourth Proportional to 757.29, 1,142.51 and 755.27

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Solution

The fourth proportional to 757.29, 1,142.51 and 755.27 is: 1,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.29 : 1,142.51 = 755.27 : x
  2. Step 2: Convert to fraction form
    757.29/1,142.51 = 755.27/x
  3. Step 3: Cross multiply
    757.29x = 1,142.51 × 755.27
  4. Step 4: Simplify right side
    757.29x = 862,899.70
  5. Step 5: Solve for x
    x = 862,899.70/757.29
  6. Step 6: Final answer
    x = 1,139.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.