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Finding the Fourth Proportional to 746.41, 1,027.96 and 730.27

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Solution

The fourth proportional to 746.41, 1,027.96 and 730.27 is: 1,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.41 : 1,027.96 = 730.27 : x
  2. Step 2: Convert to fraction form
    746.41/1,027.96 = 730.27/x
  3. Step 3: Cross multiply
    746.41x = 1,027.96 × 730.27
  4. Step 4: Simplify right side
    746.41x = 750,688.35
  5. Step 5: Solve for x
    x = 750,688.35/746.41
  6. Step 6: Final answer
    x = 1,005.73

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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.