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Finding the Fourth Proportional to 938.94, 1,296.24 and 728.66

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Solution

The fourth proportional to 938.94, 1,296.24 and 728.66 is: 1,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.94 : 1,296.24 = 728.66 : x
  2. Step 2: Convert to fraction form
    938.94/1,296.24 = 728.66/x
  3. Step 3: Cross multiply
    938.94x = 1,296.24 × 728.66
  4. Step 4: Simplify right side
    938.94x = 944,511.76
  5. Step 5: Solve for x
    x = 944,511.76/938.94
  6. Step 6: Final answer
    x = 1,005.93

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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.