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Finding the Fourth Proportional to 869.61, 1,198.76 and 682.68

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Solution

The fourth proportional to 869.61, 1,198.76 and 682.68 is: 941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.61 : 1,198.76 = 682.68 : x
  2. Step 2: Convert to fraction form
    869.61/1,198.76 = 682.68/x
  3. Step 3: Cross multiply
    869.61x = 1,198.76 × 682.68
  4. Step 4: Simplify right side
    869.61x = 818,366.06
  5. Step 5: Solve for x
    x = 818,366.06/869.61
  6. Step 6: Final answer
    x = 941.07

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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.