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Finding the Fourth Proportional to 758.36, 1,131.68 and 676.56

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Solution

The fourth proportional to 758.36, 1,131.68 and 676.56 is: 1,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.36 : 1,131.68 = 676.56 : x
  2. Step 2: Convert to fraction form
    758.36/1,131.68 = 676.56/x
  3. Step 3: Cross multiply
    758.36x = 1,131.68 × 676.56
  4. Step 4: Simplify right side
    758.36x = 765,649.42
  5. Step 5: Solve for x
    x = 765,649.42/758.36
  6. Step 6: Final answer
    x = 1,009.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.