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Finding the Fourth Proportional to 757.44, 1,052.52 and 749.52

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Solution

The fourth proportional to 757.44, 1,052.52 and 749.52 is: 1,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.44 : 1,052.52 = 749.52 : x
  2. Step 2: Convert to fraction form
    757.44/1,052.52 = 749.52/x
  3. Step 3: Cross multiply
    757.44x = 1,052.52 × 749.52
  4. Step 4: Simplify right side
    757.44x = 788,884.79
  5. Step 5: Solve for x
    x = 788,884.79/757.44
  6. Step 6: Final answer
    x = 1,041.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.