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Finding the Fourth Proportional to 866.96, 1,298.76 and 694

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Solution

The fourth proportional to 866.96, 1,298.76 and 694 is: 1,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,298.76 = 694 : x
  2. Step 2: Convert to fraction form
    866.96/1,298.76 = 694/x
  3. Step 3: Cross multiply
    866.96x = 1,298.76 × 694
  4. Step 4: Simplify right side
    866.96x = 901,339.44
  5. Step 5: Solve for x
    x = 901,339.44/866.96
  6. Step 6: Final answer
    x = 1,039.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.