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Finding the Fourth Proportional to 733.68, 1,006.56 and 691.92

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Solution

The fourth proportional to 733.68, 1,006.56 and 691.92 is: 949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,006.56 = 691.92 : x
  2. Step 2: Convert to fraction form
    733.68/1,006.56 = 691.92/x
  3. Step 3: Cross multiply
    733.68x = 1,006.56 × 691.92
  4. Step 4: Simplify right side
    733.68x = 696,459.00
  5. Step 5: Solve for x
    x = 696,459.00/733.68
  6. Step 6: Final answer
    x = 949.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.