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Finding the Fourth Proportional to 1,254.84, 1,732.06 and 812.78

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Solution

The fourth proportional to 1,254.84, 1,732.06 and 812.78 is: 1,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.84 : 1,732.06 = 812.78 : x
  2. Step 2: Convert to fraction form
    1,254.84/1,732.06 = 812.78/x
  3. Step 3: Cross multiply
    1,254.84x = 1,732.06 × 812.78
  4. Step 4: Simplify right side
    1,254.84x = 1,407,783.73
  5. Step 5: Solve for x
    x = 1,407,783.73/1,254.84
  6. Step 6: Final answer
    x = 1,121.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.