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Finding the Fourth Proportional to 1,236.65, 1,706.99 and 985.05

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Solution

The fourth proportional to 1,236.65, 1,706.99 and 985.05 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.65 : 1,706.99 = 985.05 : x
  2. Step 2: Convert to fraction form
    1,236.65/1,706.99 = 985.05/x
  3. Step 3: Cross multiply
    1,236.65x = 1,706.99 × 985.05
  4. Step 4: Simplify right side
    1,236.65x = 1,681,465.57
  5. Step 5: Solve for x
    x = 1,681,465.57/1,236.65
  6. Step 6: Final answer
    x = 1,359.70

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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.