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Finding the Fourth Proportional to 757.74, 1,137.41 and 671.63

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Solution

The fourth proportional to 757.74, 1,137.41 and 671.63 is: 1,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,137.41 = 671.63 : x
  2. Step 2: Convert to fraction form
    757.74/1,137.41 = 671.63/x
  3. Step 3: Cross multiply
    757.74x = 1,137.41 × 671.63
  4. Step 4: Simplify right side
    757.74x = 763,918.68
  5. Step 5: Solve for x
    x = 763,918.68/757.74
  6. Step 6: Final answer
    x = 1,008.15

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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.