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Finding the Fourth Proportional to 727.85, 1,086.00 and 676.24

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Solution

The fourth proportional to 727.85, 1,086.00 and 676.24 is: 1,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,086.00 = 676.24 : x
  2. Step 2: Convert to fraction form
    727.85/1,086.00 = 676.24/x
  3. Step 3: Cross multiply
    727.85x = 1,086.00 × 676.24
  4. Step 4: Simplify right side
    727.85x = 734,387.83
  5. Step 5: Solve for x
    x = 734,387.83/727.85
  6. Step 6: Final answer
    x = 1,008.98

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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.