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Finding the Fourth Proportional to 759.09, 1,132.83 and 677.07

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Solution

The fourth proportional to 759.09, 1,132.83 and 677.07 is: 1,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.09 : 1,132.83 = 677.07 : x
  2. Step 2: Convert to fraction form
    759.09/1,132.83 = 677.07/x
  3. Step 3: Cross multiply
    759.09x = 1,132.83 × 677.07
  4. Step 4: Simplify right side
    759.09x = 767,005.21
  5. Step 5: Solve for x
    x = 767,005.21/759.09
  6. Step 6: Final answer
    x = 1,010.43

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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.