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Finding the Fourth Proportional to 746.85, 1,113.50 and 727.61

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Solution

The fourth proportional to 746.85, 1,113.50 and 727.61 is: 1,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.85 : 1,113.50 = 727.61 : x
  2. Step 2: Convert to fraction form
    746.85/1,113.50 = 727.61/x
  3. Step 3: Cross multiply
    746.85x = 1,113.50 × 727.61
  4. Step 4: Simplify right side
    746.85x = 810,193.74
  5. Step 5: Solve for x
    x = 810,193.74/746.85
  6. Step 6: Final answer
    x = 1,084.81

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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.