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Finding the Fourth Proportional to 1,236.30, 1,709.01 and 990.06

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Solution

The fourth proportional to 1,236.30, 1,709.01 and 990.06 is: 1,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.30 : 1,709.01 = 990.06 : x
  2. Step 2: Convert to fraction form
    1,236.30/1,709.01 = 990.06/x
  3. Step 3: Cross multiply
    1,236.30x = 1,709.01 × 990.06
  4. Step 4: Simplify right side
    1,236.30x = 1,692,022.44
  5. Step 5: Solve for x
    x = 1,692,022.44/1,236.30
  6. Step 6: Final answer
    x = 1,368.62

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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.