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Finding the Fourth Proportional to 969.17, 1,336.68 and 685.08

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Solution

The fourth proportional to 969.17, 1,336.68 and 685.08 is: 944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.17 : 1,336.68 = 685.08 : x
  2. Step 2: Convert to fraction form
    969.17/1,336.68 = 685.08/x
  3. Step 3: Cross multiply
    969.17x = 1,336.68 × 685.08
  4. Step 4: Simplify right side
    969.17x = 915,732.73
  5. Step 5: Solve for x
    x = 915,732.73/969.17
  6. Step 6: Final answer
    x = 944.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.