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Finding the Fourth Proportional to 727.14, 1,084.74 and 674.76

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Solution

The fourth proportional to 727.14, 1,084.74 and 674.76 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,084.74 = 674.76 : x
  2. Step 2: Convert to fraction form
    727.14/1,084.74 = 674.76/x
  3. Step 3: Cross multiply
    727.14x = 1,084.74 × 674.76
  4. Step 4: Simplify right side
    727.14x = 731,939.16
  5. Step 5: Solve for x
    x = 731,939.16/727.14
  6. Step 6: Final answer
    x = 1,006.60

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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.