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Finding the Fourth Proportional to 733.86, 1,094.67 and 664.61

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Solution

The fourth proportional to 733.86, 1,094.67 and 664.61 is: 991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,094.67 = 664.61 : x
  2. Step 2: Convert to fraction form
    733.86/1,094.67 = 664.61/x
  3. Step 3: Cross multiply
    733.86x = 1,094.67 × 664.61
  4. Step 4: Simplify right side
    733.86x = 727,528.63
  5. Step 5: Solve for x
    x = 727,528.63/733.86
  6. Step 6: Final answer
    x = 991.37

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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.