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Finding the Fourth Proportional to 733.12, 1,093.44 and 659.68

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Solution

The fourth proportional to 733.12, 1,093.44 and 659.68 is: 983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,093.44 = 659.68 : x
  2. Step 2: Convert to fraction form
    733.12/1,093.44 = 659.68/x
  3. Step 3: Cross multiply
    733.12x = 1,093.44 × 659.68
  4. Step 4: Simplify right side
    733.12x = 721,320.50
  5. Step 5: Solve for x
    x = 721,320.50/733.12
  6. Step 6: Final answer
    x = 983.91

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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.