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Finding the Fourth Proportional to 757.26, 1,038.24 and 742.68

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Solution

The fourth proportional to 757.26, 1,038.24 and 742.68 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.26 : 1,038.24 = 742.68 : x
  2. Step 2: Convert to fraction form
    757.26/1,038.24 = 742.68/x
  3. Step 3: Cross multiply
    757.26x = 1,038.24 × 742.68
  4. Step 4: Simplify right side
    757.26x = 771,080.08
  5. Step 5: Solve for x
    x = 771,080.08/757.26
  6. Step 6: Final answer
    x = 1,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.