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Finding the Fourth Proportional to 739.01, 1,104.48 and 680.63

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Solution

The fourth proportional to 739.01, 1,104.48 and 680.63 is: 1,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.01 : 1,104.48 = 680.63 : x
  2. Step 2: Convert to fraction form
    739.01/1,104.48 = 680.63/x
  3. Step 3: Cross multiply
    739.01x = 1,104.48 × 680.63
  4. Step 4: Simplify right side
    739.01x = 751,742.22
  5. Step 5: Solve for x
    x = 751,742.22/739.01
  6. Step 6: Final answer
    x = 1,017.23

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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.