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Finding the Fourth Proportional to 1,076.56, 1,614.06 and 728.93

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Solution

The fourth proportional to 1,076.56, 1,614.06 and 728.93 is: 1,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.56 : 1,614.06 = 728.93 : x
  2. Step 2: Convert to fraction form
    1,076.56/1,614.06 = 728.93/x
  3. Step 3: Cross multiply
    1,076.56x = 1,614.06 × 728.93
  4. Step 4: Simplify right side
    1,076.56x = 1,176,540.79
  5. Step 5: Solve for x
    x = 1,176,540.79/1,076.56
  6. Step 6: Final answer
    x = 1,092.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.