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Finding the Fourth Proportional to 725.22, 1,083.54 and 718.74

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Solution

The fourth proportional to 725.22, 1,083.54 and 718.74 is: 1,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.22 : 1,083.54 = 718.74 : x
  2. Step 2: Convert to fraction form
    725.22/1,083.54 = 718.74/x
  3. Step 3: Cross multiply
    725.22x = 1,083.54 × 718.74
  4. Step 4: Simplify right side
    725.22x = 778,783.54
  5. Step 5: Solve for x
    x = 778,783.54/725.22
  6. Step 6: Final answer
    x = 1,073.86

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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.