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Finding the Fourth Proportional to 739.04, 1,107.48 and 685.04

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Solution

The fourth proportional to 739.04, 1,107.48 and 685.04 is: 1,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.04 : 1,107.48 = 685.04 : x
  2. Step 2: Convert to fraction form
    739.04/1,107.48 = 685.04/x
  3. Step 3: Cross multiply
    739.04x = 1,107.48 × 685.04
  4. Step 4: Simplify right side
    739.04x = 758,668.10
  5. Step 5: Solve for x
    x = 758,668.10/739.04
  6. Step 6: Final answer
    x = 1,026.56

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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.