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Finding the Fourth Proportional to 759.31, 1,138.52 and 685.60

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Solution

The fourth proportional to 759.31, 1,138.52 and 685.60 is: 1,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.31 : 1,138.52 = 685.60 : x
  2. Step 2: Convert to fraction form
    759.31/1,138.52 = 685.60/x
  3. Step 3: Cross multiply
    759.31x = 1,138.52 × 685.60
  4. Step 4: Simplify right side
    759.31x = 780,568.18
  5. Step 5: Solve for x
    x = 780,568.18/759.31
  6. Step 6: Final answer
    x = 1,028.00

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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.