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Finding the Fourth Proportional to 938.75, 1,296 and 728.46

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Solution

The fourth proportional to 938.75, 1,296 and 728.46 is: 1,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.75 : 1,296 = 728.46 : x
  2. Step 2: Convert to fraction form
    938.75/1,296 = 728.46/x
  3. Step 3: Cross multiply
    938.75x = 1,296 × 728.46
  4. Step 4: Simplify right side
    938.75x = 944,084.16
  5. Step 5: Solve for x
    x = 944,084.16/938.75
  6. Step 6: Final answer
    x = 1,005.69

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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.