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Finding the Fourth Proportional to 759.28, 1,041.09 and 685.28

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Solution

The fourth proportional to 759.28, 1,041.09 and 685.28 is: 939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.28 : 1,041.09 = 685.28 : x
  2. Step 2: Convert to fraction form
    759.28/1,041.09 = 685.28/x
  3. Step 3: Cross multiply
    759.28x = 1,041.09 × 685.28
  4. Step 4: Simplify right side
    759.28x = 713,438.16
  5. Step 5: Solve for x
    x = 713,438.16/759.28
  6. Step 6: Final answer
    x = 939.62

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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.