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Finding the Fourth Proportional to 727.68, 1,084.32 and 699.84

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Solution

The fourth proportional to 727.68, 1,084.32 and 699.84 is: 1,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,084.32 = 699.84 : x
  2. Step 2: Convert to fraction form
    727.68/1,084.32 = 699.84/x
  3. Step 3: Cross multiply
    727.68x = 1,084.32 × 699.84
  4. Step 4: Simplify right side
    727.68x = 758,850.51
  5. Step 5: Solve for x
    x = 758,850.51/727.68
  6. Step 6: Final answer
    x = 1,042.84

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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.